Solving Equation: V0 - dQ(t)/dt * R(t) - Q(t)/C(t)

[Mica]

Hi,

Can someone give me a hint for solving this equation?

V0 - dQ(t)/dt * R(t) - Q(t)/C(t) = 0

Thanks,

Mica

 

[daveb]

What have you done so far? Have you tried solving the homogeneous solution first?

 

[Mica]

Sorry, I have long time that I did not solve a differencial equation. Can you give me its form?

thanks,

Mica

 

[masudr]

Exponential decay.

 

[HallsofIvy]

What you have is a linear differential equation with variable coefficients. The solution depends strongly upon what Q(t) and R(t) are. You might be able to use Laplace Transform to write a "formal" solution in terms of integrals of Q(t) and R(t)