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Calculus1 8 Online
OpenStudy (anonymous):

y'=5x/y. Find C.

sam (.sam.):

Is this a DE problem?

OpenStudy (anonymous):

This was a problem that stumped me on a test today and I want to know how to solve it. It said something about general solution.

sam (.sam.):

yeah they'are saying that you have to find "y", but they should've given values of "y" and "x" in order to solve C, look at it \[\frac{dy}{dx}=\frac{5x}{y} \\ \\ \int\limits y ~dy= \int\limits 5x ~dx \\ \\ \frac{y^2}{2}=\frac{5x^2}{2}+C\] So when you got "y" and "x" values then you can solve for C

OpenStudy (anonymous):

Thanks so much!

sam (.sam.):

So you were able to solve it?

OpenStudy (anonymous):

Well, I understand that I would have to have the x and y values to solve it, which I don't remember. I would have to substitute them in, right?

sam (.sam.):

to find C, yes

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