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April 9th, 2010, 07:50 AM  #1 
Senior Member Joined: Jan 2009 Posts: 344 Thanks: 3  find m and b where y=mx+b is a solution to dy/dx
Consider the differential equation Find the values of the constants m and b, for which is a solution to the differential equation? Correct me if I'm wrong. Now understand that substitute for in so Since there is no x term at the left hand side of the equation, the coefficient of x at the righthand side of the equation must be equal to Zero thus Making thus 
April 9th, 2010, 09:19 AM  #2 
Senior Member Joined: Apr 2008 Posts: 435 Thanks: 0  Re: find m and b where y=mx+b is a solution to dy/dx
Sure. So what do you have so far?

April 9th, 2010, 11:28 AM  #3 
Senior Member Joined: Nov 2008 Posts: 265 Thanks: 0  Re: find m and b where y=mx+b is a solution to dy/dx
you need some initial value to go ahead the way I see it. And please, as jason.spade implied, at least make an educated guess. You'll learn better that way if you get the idea but just couldn't get the answer, or whatever way. 
April 9th, 2010, 11:55 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 16,602 Thanks: 1200 
Any solution of the equation can be written as where is the value of y when x = 0.

April 12th, 2010, 04:50 PM  #5  
Senior Member Joined: Jan 2009 Posts: 344 Thanks: 3  Re: Quote:
Nice work though.  

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dy or dx, find, solution, ymx 
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