If the Wroian W of f and g is 3e^{4t},

Monincbh 2021-12-02 Answered
If the Wro
ian W of f and g is 3e4t, and if (t)=e2t, find g(t).
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Expert Answer

navratitehf
Answered 2021-12-03 Author has 20 answers

W(e2t,g(t))=e2tg(t)2e2tg(t)=3e4t, divide both sides with e2t
g2g=3e2t
This is first order linear equation. Find integrating factor:
μ(t)=exp(2dt)=e2t
Multiply equation with μ :
e2tg2e2tg=3
(e2tg)=3, integrate
e2tg=3t+c
g=3te2t+ce2t
Result:
g=3te2t+ce2t

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