Solve the differential equation
`x(dy)/(dx) - y + x cos ((y)/(x)) = 0`

Solve the differential equation x(dy)/(dx)+2y=xlogx .

Solve the differential equation (dy)/(dx) + 3y = e^(-3x)

Find the particular solution of the differential equation x.(dy)/(dx) - y + sin((y)/(x)) = 0 , given that when x = 2, y = pi .

Solve the differential equation (dy)/(dx) + (y)/(x) =2 x^(3)

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

Solve the differential equation 2y dx + 2x log ((y)/(x))dy - 4xdy = 0

Solve the differential equation (dy)/(dx) - 2y cot x = sin 2x, y = 2 when x = (pi)/(2)

Solve the differential equation 2(dy)/(dx)=y/x+(y^(2))/(x^(2))