What is the value of C in this integral equation?

42 Views Asked by At

Consider the following integral equation: $$\int_0^1 С(yW(x))W^3(x)\,dx=F(y),$$ $$ W(x)=0.5( \cosh(kx)-\cos(kx)-A( \sinh(kx)-\sin(kx))) $$

$F$ is known.

$A= \frac{ \cosh(k)+\cos(k)}{ \sinh(k)+\sin(k)}$.

What is the value of $C$?