- #1
Ted123
- 446
- 0
Homework Statement
Show (by substituting it directly into the differential equation) that
[itex]\displaystyle y_p = y_2 \int \frac{ry_1}{W}\;dx - y_1 \int \frac{ry_2}{W}\;dx[/itex]
is a particular solution of [itex]y'' + p(x)y' + q(x)y = r(x)[/itex].
Homework Equations
[itex]W[/itex] is the Wronskian [itex]y_1 y_2^{\prime} - y_2 y_1^{\prime}[/itex]
The Attempt at a Solution
How do I sub [itex]y_p[/itex] into the DE?