List of top Mathematics Questions on Differential equations asked in AP ECET Agricultural Engg, AP ECET Chemical Engg

The differential equation is $\frac{dy}{dx} + y\tan x = \sec x$ and $y(0) = 1$. Then the value of $y(\frac{\pi}{4}) =$

The general solution of the differential equation $\frac{dy}{dx} = e^{x-y} + x^{2}e^{-y}$ is

The differential equation is $\frac{dy}{dx} + \frac{y}{x} = 0$ and $y(1) = 2$. Then the value of $y(3) =$

If $a$ and $b$ are arbitrary constants, then the differential equation representing the family of curves $y = a \sin(x + b)$ is

The order of the differential equation of all circles passing through the origin and having their centers on the x-axis is

Degree of the differential equation $y = x\frac{dy}{dx} + a\sqrt{1 + (\frac{dy}{dx})^2}$ is

The solution of the differential equation $x\frac{dy}{dx} + y = 0$ passing through the point (1,1) is $y =$

The particular integral of \[ \frac{d^2y}{dx^2}+3\frac{dy}{dx}+2y=e^{-2x} \] is

The solution of the differential equation \[ \frac{d^3y}{dx^3}+3\frac{d^2y}{dx^2}+2\frac{dy}{dx}=0 \] is

The solution of the differential equation \[ \frac{dy}{dx}+\frac{y}{x}=x^2 \] under the condition \(y(1)=1\) is

The solution of the differential equation \[ \frac{dy}{dx}=1+y^2 \] is

The differential equation \[ \frac{dy}{dx}=-\left(\frac{x+y}{1+x^2}\right) \] is

The order of the differential equation whose general solution is \[ y=a\sin x+b\cos x \] where \(a\) and \(b\) are arbitrary constants, is

The degree of the differential equation \[ y'+y=\frac{5}{y'} \] is