CUET Mathematics 2026 12th May Shift 2 PYQs

Solution of differential equation $\frac{dy}{dx} = e^{x+y} - xe^y$ is

The general solution of the differential equation

$\frac{dy}{dx} = xy + x + y + 1$ is

Choose the correct statements:

A. The order and degree (if defined) of a differential equation are always positive integrals

B. The order of a differential equation is the highest order derivative of the dependent variable with respect to the independent variable involved in a differential equation

C. If $\frac{dy}{dx} + P(x)y = Q(x)$ then Integrating factor $= e^{\int P(x)dx}$

D. The sum of order and degree of differential equation $1 + (y'')^5 = (y''')^3$ is $8$

E. If the solution of a differential equation of order $n$, contains $n$ arbitrary constant, then it is called a general solution

Choose the correct answer from the options given below: