Find A and B: General Solution

franky2727
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the general solution
 

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The problem is to solve y"+ 2y'+ 5y= sin(x). You appear to have correctly got the general solution. Yes, to determine a solution, you need to have other information. Typically those will be given y and y' at a specific value of x (an "initial value problem") or given y at two specific values of x (a "boundary value problem").
 


ok nice one i got something right
 

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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