I have come across this question:

dy/dx - y = xy^5

How do you solve this?

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- Nov 20th 2010, 03:31 AMchr91Help with non linear differential equation
I have come across this question:

dy/dx - y = xy^5

How do you solve this? - Nov 20th 2010, 03:39 AMAckbeet
It's Bernoulli.

- Nov 20th 2010, 03:45 AMchr91
- Nov 20th 2010, 03:45 AMAckbeet
Right. Let me know if you have difficulty.

- Nov 20th 2010, 04:02 AMchr91
- Nov 20th 2010, 05:40 AMAckbeet
The second method is correct. Or you can do implicit differentiation to translate the DE to z's. One possibly useful equation is y^4 = 1/z.