Question

Solve the differential equation.

 

Answer 1

Step 1:

The differential equation is .

Divide on each side by .

.

.

Above equation is in the form of first order differential equation .

Here  and .

These kind of equations can be solved by multiplying on each side with integrating factor and integrating on each side.

Step 2:

Integrating factor .              (Since )

Multiply on each side by .

                          (Since )

Integrate on each side with respect to .

Divide on each side by .

.

Solution:

Solution of the differential equation is .