Homework Statement
Solve the integral equation for y(x):
y(x) = 1 + ∫ { [y(t)]^2 / (1 + t^2) } dt
(integral from 0 to x)
See attached image for the equation in a nicer format.
Homework Equations
Fundamental Theorem of Calculus
The Attempt at a Solution
dy/dx = y(x)^2 / (1 + x^2)
∫ dy/y^2 = ∫...