just having a bit of trouble with using the method of reduction of order to find a solution to the equation:

2(x^2)y′′ + 3xy′− y = 0 x > 0

all help is greatly appreciated!

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- Mar 11th 2010, 02:56 AMferoniusmethod of reduction of order!
just having a bit of trouble with using the method of reduction of order to find a solution to the equation:

2(x^2)y′′ + 3xy′− y = 0 x > 0

all help is greatly appreciated! - Mar 11th 2010, 03:25 AMHallsofIvy
What "reduction of order" method are you talking about? The ones I know require that you already know one solution to the equation.

This is, in any case, an "Euler type" or "equipotential" equation. Trying a solution of the form $\displaystyle y= x^r$ may lead to a solution.