[tlg_steps style=”steps-style-2″][tlg_steps_content step_link=”url:http%3A%2F%2F127.0.0.1%2Fmkmath%2Fcalculus%2F” title=”Calculus” icon=”ti-arrow-circle-right” subtitle=”Topics”][tlg_steps_content step_link=”url:http%3A%2F%2F127.0.0.1%2Fmkmath%2Fcalculus%2Fintro%2F|title:Introductory%20Calculus” title=”General” icon=”ti-arrow-circle-right” subtitle=”Topics”][/tlg_steps]

Before looking at the example, you need to know the solution formula for second-order differential equations ay”+ by’ +cy = f(x) as shown. Notice that there are two parts, y-sub C and y-sub P in the complete solution.

One part, y-sub C is solving a homogeneous differential equation. Y-sub C is often called a complementary solution.