What is a general solution to the differential equation y'=\sqrt{x}e^{4y}?

Quinn Moses

Quinn Moses

Answered question

2022-04-17

What is a general solution to the differential equation y=xe4y?

Answer & Explanation

abangan85s0

abangan85s0

Beginner2022-04-18Added 16 answers

This is a separable differential equation.
dydx=x12e4y
1e4ydydx=x12
e4ydy=x12dx
e4ydy=x12dx
14e4y=23x32+C
4y=ln(4(23x32+C))
y=14ln(4(C23x32))

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