2. Find the particular solution for the following IVP differential equation: 2 (x² -2x)y "+5(x-1)y '+3y =0, y (1)=6, y '(1)=3 Hint#1: Given the initial condition at x0 = 1; then you need find the answer (power series solution) about X0=1. Hint#2: pay attention that the particular solution is required, i.e., you should not have arbitrary constants in your solution.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
Question
2. Find the particular solution for the following IVP differential equation:
2
(x² -2x)y "+5(x-1)y '+3y =0,
y (1)=6,
y '(1)=3
Hint#1: Given the initial condition at x0 = 1; then you need find the answer (power series solution) about X0=1.
Hint#2: pay attention that the particular solution is required, i.e., you should not have arbitrary constants in your solution.
Transcribed Image Text:2. Find the particular solution for the following IVP differential equation: 2 (x² -2x)y "+5(x-1)y '+3y =0, y (1)=6, y '(1)=3 Hint#1: Given the initial condition at x0 = 1; then you need find the answer (power series solution) about X0=1. Hint#2: pay attention that the particular solution is required, i.e., you should not have arbitrary constants in your solution.
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,