next up previous
Next: th Order Up: Variation of Parameters Previous: .

.

Equivelently, this is:

\begin{indisplay} \begin{aligned} y_p & = -y_1(x) \int_{x_0}^x \frac{y_2 (s) g(... ...2(x)y_1(s)-y_1(x)y_2(s)}{w(y_1,y_2)(s)} g(s) ds = 0 \end{aligned}\end{indisplay}

Where $x_0$ is a convenient point int the interval $I$ in which $y_1, y_2$ are defined.