1. Solution of the differential equation tan y sec² x dx + tan x sec² y dy + 0 is . (a) tan x + tan y = k

2. Family r = Ax + A³ of curves is represented by the differential equation of degree

3. Integrating factor of \(\frac{xdy}{dx}\) – y = x – 3x is

4. Solution of \(\frac{dy}{dx}\) – y = 1 y(0) = 1 is given by

5. The number of solutions of \(\frac{dy}{dx}\) = \(\frac{y+1}{x-1}\) when y(1) = 2 is

6. Which of the following is a second order differential equation?

7. Integrating factor of the differential equation

8. tan x + tan y = c is the general solution of the differential equation

9. The differential equation y \(\frac{dy}{dx}\) + x = c represents

10. The degree of the differential equation \(\frac{d^2y}{dx^2}\) + (\(\frac{dy}{dx}\))³ + 6y = 0 is