When the given diff. equation is of the type
dy/dx + Py = Qyn and P and Q are constants or functions of x alone and value of x is not either zero or one, the equation can be reduced to the linear form.
Divide both sides by yn
y-ndy/dx + Py-n+1 = Q
Substitute y-n+1 = v
we get the transformed equation which is a linear equation
dv/dx + (1-n)Pv = (1-n)Q