Find the general solution of the following equation.y '(x) + 2y = -4

CheemnCatelvew

CheemnCatelvew

Answered question

2021-05-18

Find the general solution of the following equation.
y(x)+2y=4

Answer & Explanation

Gennenzip

Gennenzip

Skilled2021-05-19Added 96 answers

Step 1
Given
y(x)+2y=4
Calculation:
Step 2
y+2y=4
dydx+2y=4
I.F.=e2dx
I.F.=e2x
y×I.F.=4×I.F.
y×e2x=4×e2xdx
ye2x=4e2xdx
ye2x=4×e2x2+C
ye2x=2e2x+C
y=2+Ce2x

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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