Differential Equations Answers

Find the eigenvalues and associated eigenfunction of the strum-Liouville problem xy"+y'+lamda/2 y=0,y'(1)=0,y'(e^2π)=0

Put the following equation into sturm-Lioville formx^2y"+xy'+(lamda x^2-n^2)y=0

Solve the boundary value problem:du/dt=βd^2u/dx^2,0<x<l,t>0
U(0,t)=0,u(l,t)=0,t>0
U(x,0)=f(x)0<x<l

Find the complete integral of the following equation by the charpits mothed 2(z+px+yq)=yp^2

Solve the legendres equation (1-x^2)y"-2xy'+n(n-1)y=0

Given that sinx is a solution of the differential equation: L[y]=d^4y/dx^4+2d^3y/dx^3+6d^2ydx^2+2dy/dx+5y=0 and the 4 parameter family of solutions of it. Hence solve L[y]=x^2

Find the complete integral of the following equation by
the Charpits Method 2(z + px + yq) = yp^2
.

Solve the Lagrange’s Linear Equation (y^2+z^2-x^2)p-2xyq+2xz=0

Find the eigenvalues and associated eigenfunctions of the
Strum-Liouville problem: xy''+y'+(λ/x)y=0
y'(1)=0,y'(e^(2π))=0.

put the following equation into sturm-liouville form x^2y^''+xy^'+(λx^2-n^2)y=0