- #1

theuniverse

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## Homework Statement

Without solving the DE, determine an interval in which a solution to the given initial value problem is certain to exist. Is it certain to be a unique solution?

[(pi^2/16) - t^2]y' + y^(1/2)tan(t) = 0

Initial Value: y(3pi/8) = 1

## Homework Equations

dy/dt + p(x)y = q(x)

## The Attempt at a Solution

- It says not to solve it so I'm thinking of analyzing the functions and their intervals. I know that sqrt(y) is t>0 and y>0 and I also know that tan(t) is -pi/2<t<pi/2.

- I am not sure how the expression of the derivative is to be used.

- How is it all connecting eventually to the initial value I am given.

That's all I can think of, so it would be very helpful if you can provide me some guidelines how to continue from here.

Thanks so much!

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