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Consider the linear variable coefficient second-order ODE y" (x) +p(x)y'(x) + q(X)y(x) = 0, x > 0, where p, q are given
Posted: Wed May 11, 2022 5:22 am
by answerhappygod
- Consider The Linear Variable Coefficient Second Order Ode Y X P X Y X Q X Y X 0 X 0 Where P Q Are Given 1 (57.07 KiB) Viewed 29 times
Consider the linear variable coefficient second-order ODE y" (x) +p(x)y'(x) + q(X)y(x) = 0, x > 0, where p, q are given functions of the independent variable. Two solutions of the ODE are y1 = ln(5 x) and y2 = cos(x). = The Wronskian of Y1 and | y2 for the differential equation is, W= – sin(x) In(5x) + cos(x) sin(x) O cos(x) In(5x) + sin(x) O cos(x) ln(52) cos(x) – sin(x) ln(5x)