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#### nathancurtis11

##### New member

- Sep 3, 2013

- 10

Find the value of a ∈ R for which the initial value problem:

(S) {(xy' +y)/(1+x

{y(0)= a

has a solution and, for this value of a, ﬁnd explicitly the maximal solution of (S).

I'm assuming I first find the implicit solution of the original diff eq (which I'm not too sure how to do given the equation) and then find a number a which will not make the eq undefined? I'm not too sure how to go about this one.

(S) {(xy' +y)/(1+x

^{2}y^{2})=1{y(0)= a

has a solution and, for this value of a, ﬁnd explicitly the maximal solution of (S).

I'm assuming I first find the implicit solution of the original diff eq (which I'm not too sure how to do given the equation) and then find a number a which will not make the eq undefined? I'm not too sure how to go about this one.

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