Email

Chat with tutors

Login

Ask Questions, Get Answers

Menu X

home ask tuition questions practice papers mobile tutors pricing

X

Recent questions and answers in Differential Equations

Questions >> JEEMAIN and NEET >> Mathematics >> Class12 >> Differential Equations

If the marginal cost of manufacturing a product is $C' = 3 + 0.25x$, find the total cost of function $C$ given that $C(0) = 60$.

answered 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

answered 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?

answered Mar 20, 2014 by balaji.thirumalai

1 answer

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

answered Mar 20, 2014 by balaji.thirumalai

1 answer

The tangent to a curve intersects x axis at $B$ and $y$ at $A$. The normal to same curve intersects $x$ axis at $C$ and $Y$ axis at $D$. Given $\large\frac{AO}{OB}= \frac{OC}{CD}$ curve passes through $(2,3)$. Find the curve

answered Feb 10, 2014 by meena.p

1 answer

Equation of conic defined by : $9yy'+4x=0 $ and given $y(0)=2$, find length of latus rectum

answered 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 $x^3,x^2,x$

answered 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 $(t)$

answered 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$

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

The two curves represents by $9yy'+4x=0,\; y(0)=2,\; yy'+x=0,\; y(0)=3$ then number of common normals for two curves will be

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered 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.

answered 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

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 2014 by meena.p

1 answer

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

answered 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$

answered 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$

answered Feb 7, 2014 by meena.p

1 answer

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

answered Feb 7, 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$

answered 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$

answered Feb 6, 2014 by meena.p

1 answer

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

answered 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$

answered 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$

answered Feb 6, 2014 by meena.p

1 answer

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

answered Feb 6, 2014 by meena.p

1 answer

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

answered 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

answered Feb 6, 2014 by meena.p

1 answer

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

answered Feb 6, 2014 by meena.p

1 answer

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

answered Feb 6, 2014 by meena.p

1 answer

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

answered Feb 6, 2014 by meena.p

1 answer

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

answered Feb 6, 2014 by meena.p

1 answer

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

answered 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$

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

answered 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 $y=x$

answered 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 $(x-1,0)$

answered 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

The initial value problem governing the current i following in an RL circuit when a step voltage of magnitude $\in$ is applied to circuit at $t=0$ is given by (R, L, t are constants ) $iR= \large\frac{Ldi}{dt} $$=\in, t > 0, i(0)=0$ Determine limiting value of i as $t \to \infty$

answered Feb 6, 2014 by meena.p

1 answer

A ratio active substance dis integrals at a rate proportional to amount of substance present. $50 \%$ of amount disintegrates in $1000$ years. Approximately what $\%$ of substance will disintegrate in $50$ years ?

answered Feb 6, 2014 by meena.p

1 answer

A drop of liquid evaporates at a rate proportional to its area of surface. If the radius initially is $4\;mm$ and $5$ minutes later, the radius is reduced to $2\; mm$, find radius of drop as a function of time ?

answered Feb 6, 2014 by meena.p

1 answer

To see more, click for all the questions in this category.

Feedback Terms Facebook Twitter About Us

Your payment for is successful.

...