Question

1. Solve the following DE: (50 pts) (1, if 0<x51 a) y+ y = f(x), y(0) = 3 where f(x)= 0, if x>1 (10 pts)

Answer 1

Q.1 Solve the following D.E. f(x) 910)= 3 | 2) این 9 y't y = Where f(0) = { [ ibusi Ans :- dy doe ty= f(x) 1 y(0)=3 Now Casellit OLNE I dy +4=1 an above differnthel Sidne e coption is linear =) I: F =en Soln of lineer differnttel egn y (I. F) tc S1 (Ef.) dn sem ante y en yen en tc given 9(0)=3 3 eº act Cu =) y en=tch+g => y = ItI en If n=1 y e=t et g Y(!) = Scanned with C CamScanner CS eta

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