My Math Forum Homogeneous ODE with variable coefficient

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 November 2nd, 2008, 03:43 PM #1 Newbie   Joined: Nov 2008 Posts: 1 Thanks: 0 Homogeneous ODE with variable coefficient Hello everyone! I'm trying to solve 2 questions for my assignment on homogeneous ODEs I can solve ODE's with variation of parameters and with the method of undetermined coefficients, but these 2 methods seem useless when the coefficients are not constant : (x^2)y" - 2xy' -54y = 0 and (x^2)y" - 3xy' + 4y = 0 I'm not asking anyone to solve it for me, but just to tell me what method I have to use, and I'll find on my book or on the net. P.S : I know that you can use power series method, but I think there is another one since we are learning the power series method right now, with a brand new homework just on power series! Thanks guys

 Tags coefficient, homogeneous, ode, variable

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