Question

(1 point) Solve the differential equation -1, y (0)2 y-4y -5t263 (t) y(0) using Laplace transforms. for 0 t3 The solution is y(t and y(t) for t>

Answer 1

Sol. Guen dierenthal euethon -2 Sle-3) 8フコラ9 Than ct-2) hen Apply laplate thaman Liej= gants+2 8-3)) +9118lt-31 SyASt2-9s) 1 Con ci lent&t3)-0 (-3 I2-S - ST 2 です) tlan cott side Aaply hS

yelCashtatSnhat)- " -Cashot)-Smhtot) - 동thhot) + 동 13 6stk3 t3ten from Case C) + 2e S2 +2 e SE4 41s4 2 aS Cohot)-Smht) -Sohltt 나는(Calh 2lt-s)-1) ule-3) Gohet) +Gah2lE-3] -1) ott-z tCos hot)