Question

Find the particular solution of the differential equation that satisfies the initial condition(s). ?

Answer 1

`f(x) = 6+9x-sinx`

Explanation:

The differential equation can be solved by direct integration:

`f''(x) = sinx`

`f'(x) = f'(0)+int_0^x sint dt = 8 + [-cost]_0^x = 9-cosx`

`f(x) = f(0)+int_0^x (9-cost)dt = 6+9x-sinx`