Homework Statement
y ' [x] = xy
y[0] = 1
Homework Equations
none
The Attempt at a Solution
I posted this somewhere else and 2 people got the answer is y = e^x
I am getting something else though.
I get up to here:
dy/dx = xy
1/y dy = x dx
ln y = (x^2)/2 + C...
Homework Statement
All you know about a function f[x] is:
f[0]=2, f '[0]=6, and f ''[0]=-8.
Write down the expansion of f[x] in powers of x through the x^2 term
Homework Equations
none
The Attempt at a Solution
I think the answer is 2 + 6x - 4x^2 , I just don't have any...