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Recent questions tagged differential-equations
Questions
Find the differential equation whose general solution is $y= Ae^x+Be^2x+Ce^3x+De^4x+E$ where A,B,C,D,E are constant
cbse12
math
sec-c
differential-equations
asked
Oct 17, 2016
by
meena.p
1
answer
How to solve this differential equation is not exact with an integrating factor.
differential-equations
asked
Oct 26, 2014
by
hectordavid1995
0
answers
Remove arbitrary constants from the function $x = c_1 \cos wt + c_2 \sin wt$, where $c_1, c_2$ are arbitrary constants.
maths
differential-equations
asked
Oct 1, 2014
by
hectordavid1995
1
answer
Form the differential equation of the family of parabolas with vertex on the x axis with symmetry axis parallel to the axis y positive and the vertex to focus distance equal to P.
maths
differential-equations
asked
Sep 30, 2014
by
hectordavid1995
1
answer
If the marginal cost of manufacturing a product is $C' = 3 + 0.25x$, find the total cost of function $C$ given that $C(0) = 60$.
jeemain
math
class12
ch9
differential-equations
apllication-of-diffrential-equation
difficult
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
The rate at which the population of a bacteria culture grows is proportional to the number of bacteria present. If the number of bacteria grew from $1000$ to $5000$ in $10$ hours find the number of bacteria after $15$ hours
jeemain
math
class12
ch9
differential-equations
application-of-differential-equation
difficult
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
The population of a country doubles in 40 years. Assuming that the rate of increase is proportional to number of inhabitants, find the number of years in which the population would treble itself?
jeemain
math
class12
ch9
differential-equations
difficult
applications-of-differential-equations
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Find the general solution of $xy' - 2y = x^2$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Solve $ \bigg( 1 + e^{\Large\frac{x}{y}} \bigg) dx + e^{\Large\frac{x}{y}} \bigg( 1 -\large \frac{x}{y} \bigg) $$dy= 0 $
jeemain
math
differential-equations
difficult
asked
Mar 13, 2014
by
balaji.thirumalai
1
answer
Equation of conic defined by : $9yy'+4x=0 $ and given $y(0)=2$, find length of latus rectum
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q99
medium
asked
Feb 10, 2014
by
meena.p
1
answer
Equation of conic defined by : $9yy'+4x=0 \qquad y(0)=2$ find length of latus rectum
jeemain
math
class12
unit10
differential-equations
q99
medium
asked
Feb 10, 2014
by
meena.p
0
answers
$\large\frac{dy}{dx}$$=1$ passes through $\large[$$0,\large\frac{3}{2}]$ and $ \large\frac{dy}{dx}$$=2$ passes through $[0,1]$ represents two curve which passes through a point whose coordinates are zeroes of a quadratic polynomial . The quadratic equation is gradient polynomial. Find sum of coefficients of $x^3,x^2,x$
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q98
difficult
asked
Feb 7, 2014
by
meena.p
1
answer
A tank contains $200\; gal$ of water of $40\; lb$ salt dissolves. $5\; gal$ of brine , each containing $2\; lb$ of dissolved salt, run into tank per minute and mixture kept uniform by stirring runs out at same rate. Find amount of salt $y(t)$ in tank at any time $(t)$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q97
difficult
asked
Feb 7, 2014
by
meena.p
1
answer
Solve : $2e^{\Large\frac{x}{y}}(dx-dy)+dx-2e^{\Large\frac{x}{y}} \large\frac{x}{y}$$dy=0$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q96
medium
asked
Feb 7, 2014
by
meena.p
1
answer
Solve : $y'= 1+y^2$
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q95
easy
asked
Feb 7, 2014
by
meena.p
1
answer
Find solution of differential equation $(y-x+1) dy -(y+x+2)dx=0$
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q93
medium
asked
Feb 7, 2014
by
meena.p
1
answer
Find solution : $(x-2y+1) dy -(3x-6y+2)dx=0$
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q92
medium
asked
Feb 7, 2014
by
meena.p
1
answer
Eliminate arbitrary constant and obtain differential equation $x^2-y^2= a(x^2+y^2)^2$
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q91
medium
mock
asked
Feb 7, 2014
by
meena.p
1
answer
Solve: $(3xy+y^2)dx+(x^2+xy)dy=0 \qquad y(1)=1$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q90
medium
asked
Feb 7, 2014
by
meena.p
1
answer
Solve: $\large\frac{dy}{dx}=\frac{-\sqrt {1-y^2}}{x-e^{\Large\sin ^{-1}y}}$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q89
difficult
asked
Feb 7, 2014
by
meena.p
1
answer
Solve : $y''+e^{2y}(y')^3=0$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q88
medium
asked
Feb 7, 2014
by
meena.p
1
answer
Find general solution of equation $y'-2y+a=0$ a=fixed
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q87
medium
asked
Feb 7, 2014
by
meena.p
1
answer
Find all values of m for which $y-e^{mx}$ is solution of equation $y'''-2y''-y'+2y=0$
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q86
medium
asked
Feb 7, 2014
by
meena.p
1
answer
Which of following satisfy the differential equation $y'+2xy=0?$
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q85
easy
asked
Feb 7, 2014
by
meena.p
1
answer
Which of the following satisfy differential equation $(1- \sin x) ^2 y''=\cos x$
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q84
medium
asked
Feb 7, 2014
by
meena.p
1
answer
Find nature of curve not passing through origin for which tangent at any point P. on curve is equal to radius vector of point P.
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q83
difficult
asked
Feb 7, 2014
by
meena.p
1
answer
The largest internal for which solution of differential equation $\large\frac{dy}{dx}=\sqrt {\large\frac{1-y^2}{(1+x^2)^2}}$ where $y(0)= \large\frac{1}{\sqrt 2}$ holds good is
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q82
difficult
asked
Feb 7, 2014
by
meena.p
1
answer
Solve : $\log \bigg(\large\frac{1}{x}.\frac{dy}{dx}\bigg)$$=2x+5y$
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q81
easy
asked
Feb 7, 2014
by
meena.p
1
answer
Form a differential equation represent family of curve given by $y= (c_1+c_2) -\sin (x+c_3)-c_4 e^{x+c_5}$
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q80
medium
asked
Feb 7, 2014
by
meena.p
1
answer
Solve : $ \bigg(4 \sin ^{-1} \log \bigg(\large\frac{d^4y}{dx^4}\bigg)\bigg)^3=x+y^2$
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q79
easy
asked
Feb 7, 2014
by
meena.p
1
answer
Find the order and degree of differential equation : $e^{\Large\frac{d^6y}{dx^6}}-x^2 \large\frac{d^4y}{dx^4}$$+y=0$
jeemain
math
class12
ch9
differential-equations
order-and-degree-of-a-differential-equation
q78
easy
asked
Feb 7, 2014
by
meena.p
1
answer
Solve : $ x \large\frac{dy}{dx}- \frac{y}{2}$$=x(\sin ^{-1}x) y^5$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q77
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Find the solution : $ (1+x^4) \large\frac{dy}{dx}$$-4x^3y =(x^5+x) \tan ^{-1} (x^2) \qquad y(1)=\pi$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q76
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Solve: $ (e^x+e^{-x} )\large\frac{dy}{dx}$$=1- \large\frac{(e^x+e^{-x})^2}{(e^x-e^{-x})}$$y$
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q75
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Solve : $y' +\tan x.y =\tan x \quad y(\large\frac{\pi}{4})$$=1$
jeemain
math
class12
ch9
differential-equations
homogeneous-differential-equations
q74
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Find the solution : $\large\frac{\sqrt x -2}{\sqrt y -1}$$dy =\large\frac{\sqrt y+1}{\sqrt x +2}$$dx$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q73
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Solve : $\large\frac{dy}{dx}$$=\sqrt {16 x^2 y -4x^2 y^2}\qquad y(2)=1$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q72
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Solve : $(x^2+1) dy =(4x+xy^2)dx$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q71
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Solve : $e^x y dx=(e^{2x}+1) dy \quad y \cos =1$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q70
medium
asked
Feb 6, 2014
by
meena.p
1
answer
$y=e^{(t+2)x}$ is a solution of equation $\large\frac{d^2y}{dx^2}-\frac{4dy}{dx}$$+4y=0$ then t equals
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q69
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Find solution : $\large\frac{dy}{dx} $$= 1+ \sqrt {y-x+3}$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q68
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Find solution : $\large\frac{dy}{dx}$$=y (x^2y^2-1)$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q67
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Find the solution : $ x^2y'=1-xy$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q66
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Find the solution : $-x dy +(y+\sqrt {xy})dx=0$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q65
difficult
asked
Feb 6, 2014
by
meena.p
1
answer
Determine functions $y= 2e^{-x}+ 3e^{2x}$ is solution to which of following differential equation
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q64
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Solve : $ y dx +x dy +\sin y \cos ^2 (xy) dy+e^x \cos^2 (xy) dx=0$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q63
difficult
asked
Feb 6, 2014
by
meena.p
1
answer
Find curve in $x-y$ plane which passes through$(1,1)$ . Intersects line $y=x$ at right angle at that point and satisfies $xy''+2y''=0$
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q62
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Find the curve $y= f(x) $ through the origin for which $y''=y'$ and tangent at origin is $y=x$
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q61
difficult
asked
Feb 6, 2014
by
meena.p
1
answer
Find all curves in x-y plane such that tangent at each point (x,y) of curves intersects the x-axis at $(x-1,0)$
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q60
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Find all curves in x-y plane such that tangent at each point (x,y) of curves intersects the x-axis at $(x-1,0)$
jeemain
math
class12
unit10
differential-equations
q60
easy
asked
Feb 6, 2014
by
meena.p
0
answers
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