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

  • Thread starter tony24810
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  • #1
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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.
 

Answers and Replies

  • #2
42
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never mind

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

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