- #1

nathancurtis111

- 10

- 0

I need to find the explicit maximal solution of an IVP using exact Diff Eqs:

The IVP is given as:

{xe

{y(0)=1

So I know at first I need to get the implicit solution by getting that:

A(x,y) = xe

B(x,y) = -cos(x)+ye

I know I need to find the partial derivative of A(x,y) with respect to x then the partial derivative of B(x,y) with respect to y.

After this I can't quite figure out how to get this one solved implicitly first, but the real problem lies with getting it explicitly defined (hence giving us the explicit maximal solution) and the maximal open interval after that.

The IVP is given as:

{xe

^{xy}y'-cos(x)+ye^{xy}=0{y(0)=1

So I know at first I need to get the implicit solution by getting that:

A(x,y) = xe

^{xy}B(x,y) = -cos(x)+ye

^{xy}I know I need to find the partial derivative of A(x,y) with respect to x then the partial derivative of B(x,y) with respect to y.

After this I can't quite figure out how to get this one solved implicitly first, but the real problem lies with getting it explicitly defined (hence giving us the explicit maximal solution) and the maximal open interval after that.

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