y'(0)=1 La placE TRANSFORMto solve y" - 2ylty = f(t), yco)=7, yie f(t) = soi tl5...
La placE TRANSFORM To solve y"-24'ty = f(t), yco)=7 fit) = {e-s 125 Show all STEPS yicos=1
Solve the initial value problem by using La Place: y 2 y-2u(t - 2n) y(0) 0, y(0)= el-2T
show all work la place Transtorms to solve y"+y)+20y = e-3t ylo) = 0 y (O) = 0
A 3) solve 0<-t<1 y'-y=f(t), ft)-(1 , 0, (use La t>=1 y(0)-0. ay-(2e-1)-(e11)u(t-1) b) y-(e-1)-(e1-1)u(t-1) c) y-(e1)-(2e1-1)u(t-1) d) y-(2e'-1)-(2e1-1)u(t-1)
"Use la place transform to solve Y"-5y'-by = U (+-1) given IVP Y(0)=0 Y'(O) = 1
use the Laplace tronsform to solve the IVP Y"-2y + y = f(t), y(O) = 1, 4! (0)=/ Where 0, +23 f(+) { +-3, +23 2 you may use the portial fraction decompositron! +373 +7 - 27/1 3 30 (3.1)? S2(5²-25+1) 32(3-1/2 5-12 arrive to the expression: but show steps to 32 (57-25+1)
solve using Laplace transforms (f) y"+y=f(t – 37) cos(t), y(0) = 0, y'(0) = 1. (g) y" + 2y = U(t – 7) +38(t – 37/2) – Ut – 27), y(0) = y'(0) = 0.
Solve the IVP y' + y = f(t), y(0) = 0, where f is the 27-periodic function given by f(t) -1, 0<t<T, <t<21, f(t) = f(t + 27).
Solve ſy"(t)- y(t) = f(t). 1 y(0) = 0,70) = 0, where (Σπ.
Use the Laplace transform to solve the given initial-value problem. 0 st<1 t 1 y' y f(t), y(0) 0, where f(t) (4, ae-1 -(1-1) 4 y(t) X Use the Laplace transform to solve the given initial-value problem. 0 st