Question

Slove the differential equation.

Answer 1

Step 1:

The differential equation is .

Rewrite the expression.

Simplify the expression.

Use Pythagorean identity :

Apply integration on each side.

       equation (1)

Step 2:

Consider .

Assume

Substitute in the above expression.

.

Substitute in the equation (1).

Solution :

The solution of differential equation is .