Question

Solve the initial value problem below. x+y'' – xy' + y = 0, y(1) = -5, y'(1) = 0 y = Upload a photo of your work below.

Answer 1

Solution 124 - nyl + y zo Y12-5 g'ce take z = loga az eze then we get d A dz -DCD-1) Dyty (D(DA) — D +1) y 62-D-D+1) =) (98-88712920 (@-12 2y auxilloy m-1² y (2) = (0, +42) e ean we e get g ma1 malt Z y (2) put a = lofa (estea logoe) et & lofs) I lofs yra)

given yu eu -5 you y ca ommunes (legt so) Cet se logr) + esta fa 2 ८ (1) 2. + G logo - Co eg g'c1 = -Ico, -ce) 7 eas els - 5 y Ca2 teselor s-5-) 5 5 S fi tlapas)