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#1 2014-07-30 19:45:13

mrpace
Member
Registered: 2012-08-16
Posts: 88

Solve this differential equation

dy + y³x+y=0
dx

solve

Looks innocent but I can't figure.

Sorry for all the DE questions, I have a russian lecturer who I can't understand so I need to learn somewhere sad

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#2 2014-07-31 03:08:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Solve this differential equation

Hi;

This is a Bernoulli equation and this exact problem appears in my text on p51! There is a standard substitution for it.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2014-07-31 03:41:26

Nehushtan
Member
Registered: 2013-03-09
Posts: 957

Re: Solve this differential equation

Write the equation as

and use the substitution

Last edited by Nehushtan (2014-07-31 03:43:31)


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