B use this to solve the ode x2 y 00 3xy 0 3 y 0 c use

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Unformatted text preview: n. b) Use this to solve the ODE x2 y 00 + 3xy 0 3 y = 0. c) Use the variation of parameters method to solve the equation x2 y 00 +3xy 0 1 3y = . x AMATH 350 Assignment 5 Due Friday, November 12 2. 1. Consider a system of two second order ODEs: y + a1 ( x ) y + a2 ( x ) y = f ( x ) z + b1 ( x ) z + b2 ( x ) z = g ( x ) By introducing the variables u1 = y, u2 = y , u3 = z, u4 = z , show that this can be written as a first order system u1 ( x ) u2 ( x ) u3 ( x ) u4 ( x ) u = A(x)u + F(x) where u(x) = , A(x) is an appropriately defined matrix valued function and F(x) is an appropriately defined vector valued func...
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This document was uploaded on 02/09/2014.

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