Integral Equation

Author

Eric W. Weisstein
May 3, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/DifferentialEquations/IntegralEquation.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/IntegralEquation.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Example

f[x]-Exp[-x]-1/2+1/2Exp[-(x+1)]+1/2 Integrate[(x+1)Exp[-x y]f[y],{y,0,1}]/.f[x_]:>Exp[-x]//Simplify