Solve `xy^(2)(p^(2)+2)=2py^(3)+x^(3).`

Solve y=2px+y^(2)p^(3).

Solve x^(2)p^(2)+xpy-6y^(2)=0.

Solve 3^x =5^(x-2)

Solve : [{:(x^(2)),(y^(2)):}]+2[{:(2x),(3y):}]=3[{:(7),(-3):}].

Find (dy)/(dx) in the following x^(3) + x^(2)y + xy^(2) + y^(3) = 81

Find the constant of intergration by the general solution of the differential equation (2x^(2)y-2y^(4))dx+(2x^(3)+3xy^(3))dy=0 if curve passes through (1,1).

Solve (dy)/(dx)+xy=xy^(2)

Solve: 3x^(2) - 4x + 20/3=0