Math Is Fun Forum

mrpace

Member

Registered: 2012-08-16

Posts: 88

Solve the differential equation

Solve explicitly for the y differential equation.

dy  =  3x^2(1+y^2)
dx

I don't really know what this means. Any help means a lot.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Solve the differential equation

The DE is separable:

Now can you integrate both sides?

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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.

mrpace

Member

Registered: 2012-08-16

Posts: 88

Re: Solve the differential equation

The DE is separable:

Now can you integrate both sides?

Ok so what does it mean by solving explicitly for the y differential equation? do i only intergrate the side with the y or what?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Solve the differential equation

Integrate both sides which will eliminate the differentials dx and dy.

---

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.

mrpace

Member

Registered: 2012-08-16

Posts: 88

Re: Solve the differential equation

Integrate both sides which will eliminate the differentials dx and dy.

Thanks a lot. Would you be able to help me with my initial value problem that i just posted?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Solve the differential equation

Hi;

I already have a bit. You should learn to use codecogs for your latexing.

http://www.codecogs.com/latex/eqneditor.php

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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.