- Thread starter
- #1

#### alane1994

##### Active member

- Oct 16, 2012

- 126

Here is my problem, I have been trying this for a couple of hours. I have sought help with a professor, and yet we still couldn't get it. Here is the question in full.

[HR][/HR]

I am confused as to how to start, and I don't expect work to be done for me... I just need liberal amounts of guidance to get me on my way.

[HR][/HR]

*Consider the initial value problem below to answer the following.*

**a)**Find the approximations to [tex]y(0.2)[/tex] and [tex]y(0.4)[/tex] using Euler's method with time steps of [tex]\Delta{t}=0.2,0.1,0.05, \text{and} 0.025[/tex]*[HR][/HR]I am approaching the point of crying because nothing that I do seems to work... I would put my work so far... but I have about 4 pages of it, and that would just be a waste of time for me to type all of that out. Any and all help would be appreciated...*

[tex]y\prime(t)=-2y[/tex], [tex]y(0)=1[/tex], [tex]y(t)=e^{-2t}[/tex]

**b)**Using the exact solution given, compute the errors in the Euler approximations at [tex]t=0.2[/tex] and [tex]t=0.4[/tex].**c)**Which time step results in the more accurate approximation? Explain your observations.**d)**In general, how does halving the time step affect the error at [tex]t=0.2[/tex] and [tex]t=0.4[/tex]?[tex]y\prime(t)=-2y[/tex], [tex]y(0)=1[/tex], [tex]y(t)=e^{-2t}[/tex]

I am confused as to how to start, and I don't expect work to be done for me... I just need liberal amounts of guidance to get me on my way.

Last edited: