Question

Slove the differential equation.

Answer 1

Step 1:

The differential equation is .

.

Apply integration on each side.

Use the power rule property: .

Step 2:

Consider .

Differentiate on each side with respect to .

Use the power rule of differentiation :.

Use the constant rule of differentiation: .

Step 3:

.

Consider .

Substitute and in .

Use the power rule of differentiation :.

Substitute in .

.

Therefore, .

Solution :

.