1. The solution of the equation (2y – 1) dx-(2x + 3)dy = 0 is

2. The differential equation for which y = a cos x + b sin x is a solution is

3. The solution of \(\frac{dy}{dx}\) + y = e, y (0) = 0 is

4. The order and degree of the differential equation(\(\frac{d^2y}{dx^3}\))² – 3\(\frac{d^2y}{dx^2}\) +2(\(\frac{dy}{dx}\))= y are

5. The order and degree of the differential equation [1 + (\(\frac{dy}{dx}\))²] = \(\frac{d^2y}{dx^2}\) are

6. The differential equation of the family of curves y² = 4a (x + a) is

7. Which of the following is the general solution of \(\frac{d^2y}{dx^2}\) – 2\(\frac{dy}{dx}\) + y = 0