I started the problem but I am not sure if my math is right or if I am even on the right track. Prove 2 {y }=$ 2{y} -y (o)Using the integral definition of Laplacetransform: 2 {F (+)} = 50°F (t) e-st dt-Need Integration by partsStL {y} = So y'e="dt dy vm-estStv=y' duže stdużyty' l-est 116 - Sery dey' (=-=-^"^) | ² +yekest#tydtL {y}9 / ²115 + 152 {y}

Answered: Image /qna-images/answer/8cd773dc-55ba-4453-92a7-ecfbbee95cce.jpg

Answered: Prove 2 {y } = 5 2 {y} -y (o) the U…

Prove 2 {y } = 5 2 {y} -y (o) the U definition of Laplace integral definition using transform: 2 {F 4)} = So°F (+) e ² st dt -Need Integration by parts

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 37CR

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Question

I started the problem but I am not sure if my math is right or if I am even on the right track.

Prove 2 {y }=$ 2{y} -y (o)
Using the integral definition of Laplace
transform: 2 {F (+)} = 50°F (t) e-st dt
-Need Integration by parts
St
L {y} = So y'e="dt dy vm-est
St
v=y' duže st
duży
t
y' l-est 116 - Sery de
y' (=-=-^"^) | ² +
yek
est
#tydt
L {y}
9 / ²115 + 152 {y}

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