Recent questions tagged formation-of-differential-equations

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

asked Feb 7, 2014 by meena.p

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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 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

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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

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

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

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 ?

asked Feb 6, 2014 by meena.p

1 answer

Solve and get solutions : $ \bigg( x +y \large\frac{dy}{dx}\bigg)=\bigg( y -x \large\frac{dy}{dx}\bigg) \bigg(x^4+\large\frac{y^6}{x^2}$$+3 (x^2y^2+y^4)\bigg)$

asked Feb 5, 2014 by meena.p

1 answer

Solution of differential equation $\large\frac{dy}{dx} +\frac{y}{x}$$=x^3 y^5$ is which of the following?

asked Feb 5, 2014 by meena.p

1 answer

Which one of the following curves represents the solution of the initial value problem $y= D(e^x-1)$ where $D= \large\frac{dy}{dx}$ and $y(0)=50$

asked Feb 5, 2014 by meena.p

1 answer

The differential equation for the family of curves $x^2+y^2-2ay=0$ where a is an arbitary constant is given $y'= \large\frac{dy}{dx}$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $\large\frac{dy}{dx}$$=xe^{y-x^2}$

asked Feb 4, 2014 by meena.p

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Solution of differential equation : $y(2xy+e^x)dx=e^xdy$

asked Feb 4, 2014 by meena.p

1 answer

$\large\frac{dy}{dx}$$=(4x+y+1)^2$ if $dy(0)=1$

asked Feb 4, 2014 by meena.p

1 answer

General solution of following differential $\in a ^n$ differential equations of a family of circles passing through the origin and having centre on the x axis

asked Feb 3, 2014 by meena.p

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Given $y(0) =2000$ and $\large\frac{dy}{dx} =3200-20y^2$ then find the value of $\displaystyle\lim _{x \to \infty} y(n)$

asked Feb 3, 2014 by meena.p

1 answer

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