What is a solution to the differential equation (\frac{dy}{dx})-y-e^{3x}=0?

Reagan Gomez

Reagan Gomez

Answered question

2022-04-16

What is a solution to the differential equation (dydx)ye3x=0?

Answer & Explanation

enchantsyseq

enchantsyseq

Beginner2022-04-17Added 19 answers

dydxye3x=0
this is not separable so we use an Integrating Factor (IF)
dydxy=e3x
IF=e(1)dx=ex
exdydxexy=e2x
Or ddx(exy)=e2x
exy=e2xdx
exy=12e2x+C
y=12e3x+Cex

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