General Question

Mariah's avatar

Can you help me figure out what sort of answer my professor is looking for (differential equations)?

Asked by Mariah (25863points) January 19th, 2012

We have web-based homework assignments and this question is baffling me. I know how to solve that equation, but the method I would use doesn’t involve rewriting it in the form that they’re prompting; I’ve never seen that form before and don’t know what it is. He hasn’t taught us anything like that, and I can’t find anything like it in the textbook. Any ideas?

I do not want help whatsoever on actually solving the problem.

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5 Answers

Mariah's avatar

Thank you, @bkcunningham. It’s not a double integral, though.

Charles's avatar

I think the first part is c as in a constant y(x) = c + integral….

I haven’t thought about this in almost 30 years.

Like, what is the integral of d(cabin)/cabin? The answer is log cabin + c

ratboy's avatar

@Charles is correct, this is an initial value problem. Let I be the integral of y’ from 0 to t. By the Fundamental Theorem of Calculus, I = y(t) – y(0); that is y(t) = y(0) + I.

Mariah's avatar

Thanks folks. Actually I ended up getting help from my TA, who told me pretty much the same thing as @ratboy. I have no problem with IVPs but the form of this one just threw me off. I (stupidly) didn’t catch the fact that the two stacked spaces labelled “t =” were to be the limits of integration. Duh! Once I caught that it was no problem. Thanks again.

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