- #1

middieman147

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Solve the initial value problem 2(√x)y'+y+4(√x) ; y(1)=2

I am having trouble separating the x's and y's in order to integrate. I keep coming up with:

dy/dx +y/(2(√x))=2...

What do I keep missing here? I am pretty sure you leave the y(1)=2 alone until you are finished with the integration, in which case you plug in x=1 and y=2 to solve for the constant. Is this the correct thought process for this problem?

Thanks.