Recent questions tagged differential-equations

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

asked Oct 17, 2016 by meena.p

1 answer

How to solve this differential equation is not exact with an integrating factor.

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.

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.

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 $C(0) = 60$.

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

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?

asked Mar 20, 2014 by balaji.thirumalai

1 answer

Find the general solution of $xy' - 2y = x^2$

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 $

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

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

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 $x^3,x^2,x$

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 $(t)$

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$

asked Feb 7, 2014 by meena.p

1 answer

Solve : $y'= 1+y^2$

asked Feb 7, 2014 by meena.p

1 answer

Find solution of differential equation $(y-x+1) dy -(y+x+2)dx=0$

asked Feb 7, 2014 by meena.p

1 answer

Find solution : $(x-2y+1) dy -(3x-6y+2)dx=0$

asked Feb 7, 2014 by meena.p

1 answer

Eliminate arbitrary constant and obtain differential equation $x^2-y^2= a(x^2+y^2)^2$

asked Feb 7, 2014 by meena.p

1 answer

Solve: $(3xy+y^2)dx+(x^2+xy)dy=0 \qquad y(1)=1$

asked Feb 7, 2014 by meena.p

1 answer

Solve: $\large\frac{dy}{dx}=\frac{-\sqrt {1-y^2}}{x-e^{\Large\sin ^{-1}y}}$

asked Feb 7, 2014 by meena.p

1 answer

Solve : $y''+e^{2y}(y')^3=0$

asked Feb 7, 2014 by meena.p

1 answer

Find general solution of equation $y'-2y+a=0$ a=fixed

asked Feb 7, 2014 by meena.p

1 answer

Find all values of m for which $y-e^{mx}$ is solution of equation $y'''-2y''-y'+2y=0$

asked Feb 7, 2014 by meena.p

1 answer

Which of following satisfy the differential equation $y'+2xy=0?$

asked Feb 7, 2014 by meena.p

1 answer

Which of the following satisfy differential equation $(1- \sin x) ^2 y''=\cos x$

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.

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

asked Feb 7, 2014 by meena.p

1 answer

Solve : $\log \bigg(\large\frac{1}{x}.\frac{dy}{dx}\bigg)$$=2x+5y$

asked Feb 7, 2014 by meena.p

1 answer

Form a differential equation represent family of curve given by $y= (c_1+c_2) -\sin (x+c_3)-c_4 e^{x+c_5}$

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$

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$

asked Feb 7, 2014 by meena.p

1 answer

Solve : $ x \large\frac{dy}{dx}- \frac{y}{2}$$=x(\sin ^{-1}x) y^5$

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$

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$

asked Feb 6, 2014 by meena.p

1 answer

Solve : $y' +\tan x.y =\tan x \quad y(\large\frac{\pi}{4})$$=1$

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$

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$

asked Feb 6, 2014 by meena.p

1 answer

Solve : $(x^2+1) dy =(4x+xy^2)dx$

asked Feb 6, 2014 by meena.p

1 answer

Solve : $e^x y dx=(e^{2x}+1) dy \quad y \cos =1$

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

asked Feb 6, 2014 by meena.p

1 answer

Find solution : $\large\frac{dy}{dx} $$= 1+ \sqrt {y-x+3}$

asked Feb 6, 2014 by meena.p

1 answer

Find solution : $\large\frac{dy}{dx}$$=y (x^2y^2-1)$

asked Feb 6, 2014 by meena.p

1 answer

Find the solution : $ x^2y'=1-xy$

asked Feb 6, 2014 by meena.p

1 answer

Find the solution : $-x dy +(y+\sqrt {xy})dx=0$

asked Feb 6, 2014 by meena.p

1 answer

Determine functions $y= 2e^{-x}+ 3e^{2x}$ is solution to which of following differential equation

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$

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 $xy''+2y''=0$

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 $y=x$

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 $(x-1,0)$

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 $(x-1,0)$

asked Feb 6, 2014 by meena.p

0 answers

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