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April 9th, 2010, 08:50 AM   #1
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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 right-hand side of the equation must be equal to Zero

thus

Making

thus
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April 9th, 2010, 10:19 AM   #2
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Re: find m and b where y=mx+b is a solution to dy/dx

Sure. So what do you have so far?
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April 9th, 2010, 12:28 PM   #3
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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.
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April 10th, 2010, 12:55 AM   #4
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Any solution of the equation can be written as where is the value of y when x = 0.
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April 12th, 2010, 05:50 PM   #5
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Re:

Quote:
Originally Posted by skipjack
Any solution of the equation can be written as where is the value of y when x = 0.
Thats not the answer as far as this problem is concerned.
Nice work though.
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