Differential Equations Answers

(3D ^ 2 + D ^ 2 + D) * Z = X + 5Y

Solve the PDE dz/dx+dz/dy=z²

dy/dx=x+3y-5/x-y-1

y'=(4x+3y+15)/(2x+y+7)

dx/x(y²-z²⁾=dy/-y(z²+x²)=dz/z(x²+y²)

Solve by finding the basis over R for the solution space.

(A) X + 3y -3z=0

2x - 3y + z=0

3x -2y + 2z=0

(B) X + Y + Z + W=0

2X + 3Y - Z +W=0

3X + 4Y +2W=0

Find the general solution of the equation xdy/dx+4y=x³e^x using the method of variation of parameters.

Find the solution of the following couple of different differential equations x^'=4x-y and y^'=-4x+4y when t=0 ,x(0)=1 and y(0)=1

solve y(1+2xycosx^2-2xy)dx+(sinx^2-x^2)dy=0

Solve the following system of ODE

(48D+4)y - (2D+1)z = e

-x

(D+8)y - 3z = 5e

-x

; D =d/dx