# Numerical Integration and Euler's Formula

Not what you're looking for? Search our solutions OR ask your own Custom question.

For this question, please leave out the proof. Assume the formula is already known.

Also, instead of assuming a unit step of U(t) = 1(t), change the question to a sinusoidal input of U(t) = sin(2t).

Please solve this question and explain all the steps in detail.

Â© BrainMass Inc. brainmass.com November 30, 2021, 12:06 am ad1c9bdddfhttps://brainmass.com/engineering/electronic-engineering/numerical-integration-eulers-formula-20336

#### Solution Preview

For the equation you had provided for the modified Euler formula, I have now figured out what the general form of the differential equation is:

dx/dt = ax + bu = f(x,t)

Then the modified Euler formula is,

x(n+1) ...

#### Solution Summary

The solution provides a calculation involving Euler's formula as well as a simple proof for the formula.

$2.49