In Problems 1–14, find a general solution for the differential equation with x as the independent variable.

Problem 6E

In Problems 1–14, find a general solution for the differential equation with x as the independent variable.

Solution: our aim is to find the C.F (Complementary function)

Step 1. At first we need to find the C.F

For C.F , the auxiliary equation is

……………………………….. (1)

.............................................. (2)

Step 2. Consider in equation 2, we get

………………………………….(3)