What is a solution to the differential equation \frac{dy}{dx}=4y?

Deja Vaughn

Deja Vaughn

Answered question

2022-04-18

What is a solution to the differential equation dydx=4y?

Answer & Explanation

phoenixtreeaung

phoenixtreeaung

Beginner2022-04-19Added 19 answers

We can separate the variables:
dydx=4ydy4y=dx
Integrate both sides:
dy4y=dx14dyy=dx14ln(y)=x+C
Solving for y:
ln(y)=4x+Cy=e4x+C=e4xeC=Ce4x

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