I totally agree with you, however if you try to iterate the integral equation and to solve the differential one using series solution, you'll find that you lack the 1+x part. This fact made me question the initial conditions so i tried to make the two equations look the same. It turned out that...
Hello guys!
I was given a Volterra integral equation y(x)=1/2*x^2+integral(0--->x) [t(t-x)y(t)]dt to solve using iteration. I have no idea how and where to start...
The full problem goes as follows:
Show that the solution y(x) of y''+xy=1, y(0)=y'(0)=1 also satisfies the integral...