What is a general solution to the differential equation y'=5x^{\frac{2}{3}}y^{4}?

Deangelo Hardy

Deangelo Hardy

Answered question

2022-04-19

What is a general solution to the differential equation y=5x23y4?

Answer & Explanation

anita1415snck

anita1415snck

Beginner2022-04-20Added 19 answers

 dy  dx =5x23y4
This is a First Order separable DE, so collecting like terms and "separating the variables" we get;
y4 dy =5x23 dx 
Integrating we get:
y33=5x5353+C1
y3=9x533C1
1y3=9x53+C
y3=1C9x53
y=C9x533

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?