What is a solution to the differential equation (x^{2})(e^{y})\frac{dy}{dx}=4?

Mina Whitehead

Mina Whitehead

Answered question

2022-04-16

What is a solution to the differential equation (x2)(ey)dydx=4?

Answer & Explanation

Sabrina Campos

Sabrina Campos

Beginner2022-04-17Added 13 answers

We can separate the variables:
x2eydydx=4eydy=4x2dx
Integrate both sides:
eydy=4x2dxey=4x+Cy=ln(C4x)

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