Anyone help with this differential equation

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The discussion centers on solving a differential equation, with a proposed solution of y(x) = e^(e^(2x(x/3*(sin(3x)+1/9cos(3x)+c))). Participants confirm that having an exponential of an exponential is valid and suggest verifying the solution by substituting it back into the original equation. Tools like WolframAlpha and Mathematica are recommended for checking the correctness of the solution.

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sozener1
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from the attached file I get something like the answer as y(x) = e^(e^2x(x/3*(sin(3x)+1/9cos(3x)+c)
Im not sure if this is right can you have an answer exponetial of an exponential??
 

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sozener1 said:
can you have an answer exponetial of an exponential??
Sure, why not?
You can plug your solution into the original equation to check it. Or you can use WolframAlpha/Mathematica/... to do that.
 
sozener1 said:
from the attached file I get something like the answer as y(x) = e^(e^2x(x/3*(sin(3x)+1/9cos(3x)+c)
Im not sure if this is right can you have an answer exponetial of an exponential??

I cannot read your thumbnail. Just type out the problem and avoid thumbnails altogether.
 

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