Kay nerds I need help with some calc BC.
Can someone explain to me what the Euler Method is for? It's a helluva lot of work; even though it's easy plugchug work, there's a lot of room for stupid mistakes and I just don't know what the hell it's for.
Sample question:
Consider the differential equation y'=x+y. Use Euler's Method with change-of-x (triangle x) = 0.1 to estimate y when x = 0.4 for the solution curves satisfying
(a) y(0) = 1
(b) y(-1) = 0
The teacher has us make a chart labeled x, y, and (triangleX)*y'. We start at (0,1) first, add .1 to x, plug the new x and the last y into the slope equation (what the fuck?) and then multiply that by (triangleX) which is .1 in this case, then add THAT to the previous y. We keep doing that until we hit x=0.4...what the hell. Then the y value is the answer.
What is going on when I'm doing those calculations? And shouldn't the answer be the same for both (a) and (b)?