Calculus Help Needed

[MrCodeDude]

The Problem

My work is at the bottom, which is what I've gotten so far.

Now, I would assume that with the table (that I have verified with the back of the book is correct) that f(1) = 1. But the back of the book says f(0) = 1.

I am confused. What am I even using Euler's Method for? (I'm taking a practice AP test and Euler's Method came up on the Free Response problem) And how does f(0) = 1?

 

[MrCodeDude]

Bump

 

[eLiu]

I don't understand your table.

y_n+1 = y_n + h*f(x_n,y_n)

where y_n denotes y subscript n.

Soo...y1=y0 + h*x0*(4*y0^2 + 1).

y1 = 0.5 + 0.5*0*etc = 0.5.
y2 = 0.5 + 0.5*0.5*(4*(0.5)^2+1) = 1.5
y3 = 1.5 + 0.5*1*(4*(1.5)^2+1) = 6.5

 

[BigJ]

I've had e too many drinks to figure that out right now.

 

[jman19]

Educate yourself: http://www.me.ucsb.edu/~moehlis/APC591/tutorials/tutorial1/node2.html

 

[MrCodeDude]

Originally posted by: jman19
Educate yourself: http://www.me.ucsb.edu/~moehlis/APC591/tutorials/tutorial1/node2.html

I'm sorry, I'm retarded. That explanation did not help me at all 🙁