Question

Slove the differential equation.

Answer 1

Step 1:

The differential equation is .

Apply integral on each side.

Apply long division to simplify the integral.

Apply integration sum and difference formula .

Step 2:

.

Solve the integral by using partial fractions.

Compare - coefficients and constant terms.

.

Substitute in .

.

Step 3:

Substitute and in

Apply power rule of integration .

.

Solution:

.