Show the differential equation :`x + y = tan^(-1)y : y^(2)y' + y^(2) + 1 = 0`

Solve the differential equation (tan^(-1)y - x)dy = ( 1 + y^(2))dx .

The general solution of the differential equation (2x - y + 1) dx + (2y - x +1)dy = 0 is...

The solution of the differential equation xsqrt(1-y^(2)) dx+y sqrt(1-x^(2)) dy = 0

Find the particular solution of the differential equation : x^(2)dy = y(x+y)dx = 0 , when x = 1, y = 1.

Solve the differential equation: y e^((x)/(y)) dx = (x e^((x)/(y)) + y^(2))dy ( y ne 0) .

Verify that the given functions(explicit or implicit) is a solution of the corresponding differential equation : 1. y = e^(x) + 1 : y'' - y' = 0

The order and degree of the differential equation : [ 1 + ( (d y) / (d x) ) ^5 ] ^(1 / 3) = (d ^2 y) / (d x^ 2)