List of top Mathematics Questions on Differential Equations asked in AP ECET Metallurgical Eng

$\frac{dy}{dx} = xy + x + y + 1$ has the solution}

The general solution of $\frac{ydx - xdy}{y^2} = 0$ represents a family of}

Which of the following is an integrating factor for the differential equation $x \cos x \frac{dy}{dx} + (x \sin x + \cos x) y = 1$?

The equation of the curve passing through the origin and satisfying the differential equation $\frac{dy}{dx} = (x-y)^2;$

If the solution $y(x)$ of the given differential equation $(e^y+1) \cos x dx + e^y \sin x dy = 0$ passes through the point $(\pi/2, 0)$ then the value of $y(\pi/6)$ is

If the order and degree of a differential equation $(\frac{d^4y}{dt^4} + \frac{d^2y}{dt^2})^{5/2} = 10 \frac{d^3y}{dt^3}$ are $p$ and $q$, respectively, then $p+q =$

The differential equation of the family of concentric circles with Centre at the origin is