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:

I assume this should be -1 + 0^2
second step:

I assume this should be -2 + 1^2
third step:

I assume this should be -1 + 2^2 = 3
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