# How do you solve the differential equation given #f''(x)=x^(-3/2)#, f'(4)=2, f(0)=0?

##### 1 Answer

Nov 7, 2016

Please see the explanation for steps leading to the equation:

#### Explanation:

Given:

Integrate:

Please remember the constant:

Evaluate at the given initial condition, 4:

Write f'(x) with the value of C:

Integrate:

The initial condition f(0) = 0 tells us that C = 0: