Find the general solution of the following equation. y'(x)=2y+6

Joni Kenny

Joni Kenny

Answered question

2021-09-22

Find the general solution of the following equation.
y(x)=2y+6

Answer & Explanation

faldduE

faldduE

Skilled2021-09-23Added 109 answers

Step 1
We first separate the variables
y(x)=2y+6
dydx=2(y+3)
dyy+3=2dx
Step 2
Then we integrate both sides
dyy+3=2dx
ln|y+3|=2x+C
y+3=e2x+C
y=e2x+C3
Answer: y=e2x+C3
C=integrating constant

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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