(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the initial value problem

t*y' + 2y = e^(2t) ; y(1) = 0:

Determine the largest interval on which it is guaranteed to have a unique solution.

2. Relevant equations

3. The attempt at a solution

I just need somebody to tell me if i have a logic on this one :-S

I understand thattcannon equal zero. But also, the interval, that there is a unique solution, would be from 0 to positive infinity, because the initial condition setsy'to be positive..

If the interval would be going from negative infinity to 0, theny'would be negative, which violates the initial condition...

Am i right?

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# Homework Help: Diff. eq determening IVT interval

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