Consider the differential equation a) Find at least one non-trivial solution of the form y (x) = ax + b, a, b constants. b) Find the general solution of the differential equation. (1 − x²)y" − 2xy' + 2y = 0 con 0

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the differential equation
a) Find at least one non-trivial solution of the
form y (x) = ax + b, a, b constants.
b) Find the general solution of the differential
equation.
(1 – x²)y" – 2xy' + 2y = 0 con 0 < x < 1.
%3D
Transcribed Image Text:Consider the differential equation a) Find at least one non-trivial solution of the form y (x) = ax + b, a, b constants. b) Find the general solution of the differential equation. (1 – x²)y" – 2xy' + 2y = 0 con 0 < x < 1. %3D
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