Thread: picard's method of iteration

Hey guys, I'm having some trouble with this problem using picard's successive approximations:

y' = 2e^x - y, y(0) = 1

I thought the equation to begin the approximations would be:

y = 1 + integral of 2e^x - y

but when i make the substitution for y it doesn't work... any suggestions????

Originally Posted by collegestudent321

Hey guys, I'm having some trouble with this problem using picard's successive approximations:

y' = 2e^x - y, y(0) = 1

I thought the equation to begin the approximations would be:

y = 1 + integral of 2e^x - y

but when i make the substitution for y it doesn't work... any suggestions????

Yeah, you're good to go.



Then start with and use eqn (1) recursively.