Differential Equations Answers

Find general solution of equation 2x(y+z^2)p+y(2y+z^2)q=z^3 and deduce that yz(z^2+yz-2y)=x^2 is a solution

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