Solve the following differential equations using the Laplace transform. y"-4y=0 y(0)=0 , y'(0)=0

abondantQ

abondantQ

Answered question

2021-09-03

Solve the following differential equations using the Laplace transform
y"4y=0
y(0)=0,y(0)=0

Answer & Explanation

Luvottoq

Luvottoq

Skilled2021-09-04Added 95 answers

Step 1
on solving this we get the
Step 2
y=0
y(0)=0,y(0)=0
d2y4y=0
L(D2y)4L(y)=0
s2L(y)sy(0)y(0)4L(y)=0
s2L(y)s×004L(y)=0
L(y)[s24]=0
L(y)=0s24
L(y)=0

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