I have come across this question:

dy/dx - y = xy^5

How do you solve this?

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- November 20th 2010, 04:31 AMchr91Help with non linear differential equation
I have come across this question:

dy/dx - y = xy^5

How do you solve this? - November 20th 2010, 04:39 AMAckbeet
It's Bernoulli.

- November 20th 2010, 04:45 AMchr91
- November 20th 2010, 04:45 AMAckbeet
Right. Let me know if you have difficulty.

- November 20th 2010, 05:02 AMchr91
- November 20th 2010, 06:40 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.