Differential Equations Answers

ind the general solution of the given system.
dx /dt = 3x − y − z
dy /dt = x + y − z
dz /dt = x − y + z x(t), y(t), z(t) =

Y^4-y=x

Solve
(2√xy -y)dx- xdy=0

Solve
(D-3D'-2)^2.z= 2e^2x.sin(2y+x)

By the method of variation of parameters, solve the following differential equation:
d^2y/dx^2+4y =4 tan2x

Solve the equation by method of variation of parameters: x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)-y=x^(2)e^(x)

Find the general integral of the partial differential equation using Lagrange's method
p(z+e^x)+q(z+e^y)=z^2-e^(x+y)

Xp^2+2yp+x=0

y’ = Csc x -yCot x

( 3xy + 3y - 4)dx + (x + 1)2dy = 0