Question: Do Homework - Homework 6.1 Basic Theory of Linear Diff. Eq. - Google Chrome mathxl.com/Student/PlayerHomework.aspx?homeworkld=599185316&questionld=2&flushed=true&cld=6535730¢erwin=yes Fall 2021 Diff. Eq. MWF 11-11:50 AM (1) E Homework:

Do Homework - Homework 6.1 Basic Theory of Linear
Do Homework - Homework 6.1 Basic Theory of Linear Diff. Eq. - Google Chrome mathxl.com/Student/PlayerHomework.aspx?homeworkld=599185316&questionld=2&flushed=true&cld=6535730¢erwin=yes Fall 2021 Diff. Eq. MWF 11-11:50 AM (1) E Homework: Homework 6.1 Basic Theory of Linear Diff. Eq. Let L[y]: = y'' - xy" + 9y' - 8xy, y, (x): = cos 3x, y2(X): = - . Verify that L[y, ](x) = x cos 3x and L[y2](x) = x. Then use the superposition principle (linearity) to find a solution to the following differential equations. (a) L[y] = 3x cos 3x - 8x (b) L[y] = - 7x cos 3x + 11x Verify that Ly1 ](x) = x cos 3x. Calculate y1'(x). y 1' ( X ) =

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