RC Circuits (Differential Equations)

sl02ggp
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Homework Statement



Find the voltage across a capacitor in an RC Circuit, using [V]_{}[/c] (0) = 1, [V]_{}[/i] n(t)=t.

Homework Equations


dV/dt = (1/RC)(V)=(1/RC)([V]_{}[/in])


The Attempt at a Solution


New to this site: I honestly don't know where to start. Done well in Calculus. Feel DifEq is like a breed of its own..aha
 
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I know you have to use this type of an equation: VC = V0(1− e−t /τ ) where τ = RC and V0 is the initial voltage
 
anyone?
 

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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