RC Circuits (Differential Equations)

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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

 

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anyone?