Solve the initial-value problem in Example 1.6.5 as follows. First determine the general...

Solve the initial-value problem in Example 1.6.5 as follows. First determine the general solution to the differential equation on each interval separately. Then use the given initial condition to find the appropriate integration constant for the interval (− ∞, 1). To determine the integration constant on the interval [1,∞), use the fact that the solution must be continuous at x = 1.

Reference : in Example 1.6.5

Solve the initial-value problem