Find the unique solution to the initial value problem

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SUMMARY

The unique solution to the initial value problem presented in the discussion is confirmed to be y(0) = 1. The participant is seeking to determine the function g(t) but expresses uncertainty regarding the necessary information to solve for it. The suggested approach involves taking the derivative of the solution and substituting it into the differential equation to find g(t).

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Homework Statement


The unique solution to the initial value problem
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is http://webwork.usi.edu/webwork2_files/tmp/equations/ed/12ad7dca5df62ed3b18f5fbf8c6e871.png
Determine the constant
311d70fb1bd53d54f2558c65e359231.png
and the function
0ea070d1587cc971d1f2a60b260d461.png



Homework Equations



Not sure for the second part.

The Attempt at a Solution


I got the constant y(0)= 1 and know that is correct. I can not figure out how to get g(t). I feel like you need more information on the original problem.
 
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Take the derivative of the solution and substitute into the diff. equation.
 
Thank you
 

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