1. Integration factor of differential equation \(\frac{dy}{dx}\) + py = Q, where P and IQ are functions of x is

2. The radius of a circle is increasing at the rate of 0.4 cm/ s. The rate of increasing of its circumference is

3. The solution of \(\frac{dy}{dx}\) = 1 + x + y + xy is

4. The degree of the differential equation

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

6. The order and degree of the differential equation \(\frac{d^2y}{dx^2}\) + (\(\frac{dy}{dx}\))+ x= 0 respectvely, are

7. If y = e

8. The differential equation for y = A cos αx + B sin αx where A and B are arbitary constants is

9. Solution of differential equation xdy – ydx = Q represents

10. Integrating factor of the differential equation cos x \(\frac{dy}{dx}\) + y sin x = 1 is