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

Sinead Mcgee

Sinead Mcgee

Answered question

2021-05-09

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

Answer & Explanation

opsadnojD

opsadnojD

Skilled2021-05-10Added 95 answers

Step 1
Given that,
y '(x)=-y+2
Step 2
Now,
dydx=y+2
dy2y=dx
On integrating both side,
dydx=y+2
dy2y=dx
ln(2y)+c=x
x+ln(2y)=c
Step 3
General solution of given equation is
x+ln(2y)=c
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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