Anyone help with this differential equation

[sozener1]

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??

 

[mfb]

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.

 

[Ray Vickson]

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.