calculus 2
posted by Geminese .
Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initialvalue problem
y'= 3x+y^2, y(0)=1

what's the problem? Just plug and chug:
Y_{i+1} = y_{i} + .2*y'(x_{i},y_{i})
0: (0.0000,1.0000) > 1.2000
1: (0.2000,1.2000) > 1.3680
2: (0.4000,1.3680) > 1.5023
3: (0.6000,1.5023) > 1.5937
4: (0.8000,1.5937) > 1.6216
5: (1.0000,1.6216) > 1.5475
Looks like f(1) = 1.6216