Differential Equations Answers

1. (x+3y-5)dx-(x-y-1)dy=0

Find the general integral of

2x(y+z²)p+y(2y+z²)q=z²

Reduce the equation into canonical form and find the solution

sin²x u_xx+2cosx u_xy - u_yy=0

Reduce the equation into canonical form and find the solution

xu_xx +2(xy)^1/2 u_xy +yu_yy -u_x =0

Find the integral surface passing through the data curve x=1, z=y²+y of the equation x³ z_x+y(3x²+y)z_y =z(2x²+y)

Find the integral surface passing through the initial data curve C: x₀= -1, y₀= s, z₀= (s)^1/2 of the equation (x+2)p +2yq =2z

Complete integral of pq=xy

(Y^2+yz+z^2)dx+(z^2+zx+x^2)dy+(x^2+xy+y^2)dz

8ap^3=27y