Anyone help with this differential equation

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.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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