Hey all,

I have the IVP

Using Euler's method with a step size h = 1, I want to compute the solution to the

IVP at final time t = 3.

I have done the following:

first step:

second step:

third step:

I have solved the Linear DE and got

which when . But Euler's method approximates the third step to be .

Have I done something wrong in my working ? or is it just that this model is not appropriate for this IVP. Thanks