class 12

Math

Calculus

Differential Equations

Let $y=g(x)$ be the solution of the differential equation $sinx(dxdy )+ycosx=4x,x∈(0,π)$ If $y(2π )=0$, then $y(6π )$ is equal to

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Find the order and degree (if defined) of the equation: $dx_{4}d_{4}y −sin(dx_{3}d_{3}y )=0$

Form the differential equation of family of lines concurrent at the origin.

If for the differential equation y′=yx+ϕ(xy), the general solution is y=xlog|Cx|, then ϕ(x/y) is given by

The general solution of the differential equation d2ydx2=cosnx is

What is the solution of satisfying?

Solve the equation $dxdy +(1−x_{2})xy =xy $

The expression which is the general solution of the differential equation dydx+x1−x2y=xy√ is

Solve the equation $dxdy +x1 =x_{2}e_{y} $