Differential Equations Answers

d^2y/dx^2 + 2dy/dx +5y=34sinxcosx

d2x/dt2=x-2y, d2y/dt2=4x+5y find general solution using matrix method.

Solve two dimensional Laplace equation d²u/dx²+d²u/dy²=0 ,subject to the condition u(0,y)=u(l,y)=u(x,0)=0, u(x,a)=sin nmx/l

yz(y+z)dx+xz(x+z)dy+xy(x+y)dz=0

Solve : 2(2y^2+yz -z^2)dx+x(4y+z)dy+x(y-2z)dz= 0

find the integral curves of the equation dx/xz-y=dy yz-x=dz/xy-z

Solve 2(2y^2+yz -z^2)dx+x(4y +z)dy+x(y -2z)dz= 0

D2y/dx2-24dy/dx+144=0

Solve (D^2 -4D+3)y = e^x cos 2x + cos3x 

Find the partial differential equation whose general solution is given by the arbitrary

function F(2x + 3y + 4z , x^2 + y^2 − 2) = 0