10 y y 4y 2sinht hint sinh t et e t2 hint sinht e e 2 answer 1q y c1e t2 cos vi5t2 cze t2 sin

Name: 10 y y 4y 2sinht hint sinh t et e t2 hint sinht e e 2 answer 1q y c1e t2 cos vi5t2 cze t2 sin v15t2 e 4e t 14135
Uploaded: 2023-06-16T13:06:05-08:00
Duration: 8 min 48 s
Channel: Sri K
Description: 10 y y 4y 2sinht hint sinh t et e t2 hint sinht e e 2 answer 1q y c1e t2 cos vi5t2 cze t2 sin v15t2 e 4e t 14135

Question

10 y y 4y 2sinht hint sinh t et  e t2 hint sinht e  e 2 answer 1q y c1e t2 cos vi5t2 cze t2 sin

Melissa Munoz · Accepted Answer

First, we rewrite the given differential equation as a homogeneous equation by substituting (y_

Question

10. y" + y' + 4y = 2sinh t Hint: sinh t = (e^t - e^-t)/2 Answer: y = C1e^(-t/2) cos (√15t/2) + C2e^(-t/2) sin (√15t/2) + 1/6e^t - 1/2e^-t

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