The initial value problem in Example 5 of Section 3.6 could also be written asv(0) = v0, x...

The initial value problem in Example 5 of Section 3.6 could also be written as

v(0) = v0, x(0) = x0

where x0 is the initial distance of the object from the planet. Solve this initial value problem. You may leave your answer in terms of an integral.