First order linear differential equation

Mikesgto
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Homework Statement



11(t+1)dy/dt-7y=28t y(0)=13

Homework Equations


The Attempt at a Solution


I got µ(x)=1/(t+1)^(7/11)
and then used

28/11(t+1)^(7/11)*integral of t/(t+1)^(18/11) dt.
And that's where I'm stuck.
 
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Is your difficulty in the integration?

Integration by parts should remedy said problem I believe.
 

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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