Practice Linear Integral Equations - CSIR-UGC NET Offered by Unacademy

Linear Integral Equations

The integral equation corresponding to initial value problem.

y'’ + y = 0; y(0) = 0, y’(0) = 1 is

$u(x)=\sin x+\int_{0}^{x}(t-x) u(t) d t$

$u(x)=x+\int_{0}^{x}(t-x) u(t) d t$

$u(x)=x+\int_{0}^{1}(t-x) u(t) d t$

$u(x)=x(1+x)+\int_{0}^{1}(t-x) u(t) d t$

Fredholm and Volterra Type