Solve the initial value problem below using the method of

hrostentsp6

hrostentsp6

Answered question

2021-11-11

Solve the initial value problem below using the method of laplace transforms.
y+2y3y=0, y(0)=1,y(0)=9

Answer & Explanation

Himin1945

Himin1945

Beginner2021-11-12Added 12 answers

y+2y3y=0, y(0)=1, y(0)
Taking Laplace transforamtion on both sides
L{y}+2L{y}3L{y}=0
Laplace transformation derivatives define
L{y}=s+11s2+253
=5+11(s1)(s+3)
L{y}=3s12s+3
y(t)=3et2e3t

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