Question: Example ffProblem 3.3.24 Let y = x. Then, y' = lx/-1, y = a(2 - 1)x1-2 Thus, x2 2(2 - 1)x1-2 - 2x2x1-1 - 10x1

Example

$Example \f\fProblem 3.3.24 Let y = x. Then, y' = lx/-1, y"$ = a(2 - 1)x1-2 Thus, x2 2(2 - 1)x1-2 - 2x2x1-1 -

\f\fProblem 3.3.24 Let y = x. Then, y' = lx/-1, y" = a(2 - 1)x1-2 Thus, x2 2(2 - 1)x1-2 - 2x2x1-1 - 10x1 = 0 x*(2(2 -1) - 21 - 10) = 0 22 - 32 - 10 = 0 There are two real and distinct roots 212 = 5, -2 So, the GS is y = C1x5+ C2x-2Problem 3.3.20 Find the GS to the following DE x2y" + xy' - 9y =0 Problem 3.3.21 Find the GS to the following DE ax? y" + bxy' + cy = 0 Problem 3.3.22 Find the PS to the following IVP (x2y" - 2xy' + 2y = 0 ly(1) = 3, y'(1) = 1 Problem 3.3.23 Find the GS to the following DE (x + 2) 2 y" - (x+ 2) y' ty=0 Problem 3.3.24 Find the GS to the following DE x2y" - 2xy' - 10y = 0

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