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August 6th, 2012, 02:54 AM   #1
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differential equation

Solve the equation: . I solved equations such when . In my case and i.e. . I know in this case I should find such that , but I really no idea how to find . Maybe there is a method which allows to find
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August 6th, 2012, 03:04 AM   #2
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Re: differational equation

Use an integrating factor,
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August 6th, 2012, 03:10 AM   #3
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Re: differational equation

You want to find a special integrating factor. We may compute:



Since this is a function of y alone, our integrating factor is found by:



Multiplying the given ODE by this factor, we obtain:



Now you have an exact ODE, and we note that in multiplying by the integrating factor, we have lost the solution .
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August 6th, 2012, 03:22 AM   #4
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Re: differential equation

Oops, I didn't read the whole post

Sorry.
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August 6th, 2012, 09:40 AM   #5
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Re: differational equation

Quote:
Multiplying the given ODE by this factor, we obtain:



Now you have an exact ODE, and we note that in multiplying by the integrating factor, we have lost the solution .
thank you MarkFL... How I didn't note it before.
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