## anonymous 5 years ago what is legendr's equation? what is bessel"s equation?

They are ordinary differential equations that are solved using Frobenius' Method (series solution). Legenre's equation:$(1-x^2)\frac{d^2y}{dx^2}-2x \frac{dy}{dx}+l(l+1)y=0$Bessel's equation:$x^2\frac{d^2y}{dx^2}+x \frac{dy}{dx}+(x^2-{\nu}^2)y=0$These equations are important in mathematical physics.