I don't know how to do that at all. The equation is
y' = (t2 - y2)siny,
y(0) = -1
and we're asked to use the backward Euler method to find approx. values for the IVP at t=0.1, 0.2, 0.3 and 0.4 with h=0.05.
I'm not very good at this algorithm thing..
I think maybe I was oversimplifying things - it's a backward Euler method:
yn+1 = yn + h(tn+12 - yn+12)sin(yn+1)
so I think I have to get that just in terms of yn in order to get the algorithm.
Homework Statement
I need to have x on the LHS in terms of just y, h and t on the RHS:Homework Equations
x = y + h(t2 - x2)sin(x)The Attempt at a Solution
I really don't know where to begin. I'm pretty sure there'll need to be an arcsin somewhere. Is this even possible?
Thanks in advance!