Share
Explore BrainMass

Differential Equations : Euler's Method and Initial Conditions

DVc/dt = ( V(t) - Vc ) / ( RC)

Supposed V(t) = 2cos(3t). If R = 4 and C = 0.5, use Eulers
method to compute values of the solutions with the given inital
conditions over the interval 0 <= t <= 10

for Vc(0) = -1

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

basic differential equations question #1
________________________________________
Hi. Here's a dif. eq. problem. Please show all steps with a bit of explanation.

Thanks!

Problem 1:

dVc/dt = ( V(t) - Vc ) / ( RC)

Supposed V(t) = 2cos(3t). If R = 4 and C = 0.5, use Eulers
method to compute values of the solutions with the given inital
conditions over the interval 0 <= t <= 10

for Vc(0) = -1

Solution. If R = 4 and C = 0.5, V(t) = 2cos(3t). Then the ODE is
dVc/dt = ...

Solution Summary

Differential Equations, Euler's Method and Initial Conditions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

\$2.19