First order differential eqn dy/dx + Py = Qy^n

[tony24810]

show that the substitution z = y^-(n-1) transforms the general equation dy/dx + Py = Qy^n, where P and Q are functions of x, into the linear equation dz/dx - P(n-1)z = -Q(n-1). (Bernoulli's equation)


Well, I looked up Bernoulli's stuff on internet, found the usual air flow equation but not this one. In fact I followed the standard procedure to transform the equation, but what I got is a whole bunch of fraction rather than just the -(n-1).

Please help.

 

[tony24810]

never mind

i managed to solved it myself, please ignore this post. i actually made mistake in my differentiation with the negative indices.