CUET Mathematics 2025 14 May Shift 1 PYQs

Consider the differential equation $xdy = (y + 2x^3)dx$. Then which of the following are TRUE?

(A) It is a homogeneous differential equation.

(B) Product of the order and degree of the differential equation in one.

(C) Integrating factor is x.

(D) General solution of the differential equation is $y = x^3 + Cx$, where C is an arbitary constant.

Choose the correct answer from the options given below:

The solution of the differential equation $ydx + (x - y^2)dy = 0$ is

The solution of the differential equation $\frac{dy}{dx} = \frac{ax + c}{by + d}$ represents a circle when