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August 6th, 2012, 02:54 AM  #1 
Member Joined: Jun 2012 From: Uzbekistan Posts: 59 Thanks: 0  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 
August 6th, 2012, 03:04 AM  #2 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: differational equation
Use an integrating factor, 
August 6th, 2012, 03:10 AM  #3 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  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 . 
August 6th, 2012, 03:22 AM  #4 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: differential equation
Oops, I didn't read the whole post Sorry. 
August 6th, 2012, 09:40 AM  #5  
Member Joined: Jun 2012 From: Uzbekistan Posts: 59 Thanks: 0  Re: differational equation Quote:
 

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