Find the Error: Modifying Euler's Method for Initial Condition y(5)=3

[mvgio124]

Euler's method?

Describe how to modify Euler's method to deal with the initial condition of y(5)=3 instead of y(0)=3.

Use this on the equation y'=1+t using a time step of 0.1 and initial condition of y(5)=3 and find y(5.4) .
??

Now find the exact solution of this equation using calculus and find what the exact answer is.

= ?
What is the percentage error in the value Euler's method gave at t=5.4?

Percentage error = ? percent

 

[lanedance]

well so what is euler's method? probably a good place start

 

[lanedance]

http://en.wikipedia.org/wiki/Euler_method