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Find two power series solutions of the given differential equation about the ordinary point x = у" - (х + 1)у' - у 3D 0 x2 - x3 2 x2 and y2 = x + - 2 Yi = 1 - + + 6 12 + 4 Yi = 1 + X 2 + + ... and Y2 = x + + + 6. 6 2 4 x2 x3 Yı = 1 + 2 + ... and Y2 = x + 2 + ... 6 Yı = 1 + + 2 6 + ... and y2 = x + x7 + + + ... 2 2 4 + + + + + +

Find two power series solutions of the given differential equation about the ordinary point x = у" - (х + 1)у' - у 3D 0 x2 - x3 2 x2 and y2 = x + - 2 Yi = 1 - + + 6 12 + 4 Yi = 1 + X 2 + + ... and Y2 = x + + + 6. 6 2 4 x2 x3 Yı = 1 + 2 + ... and Y2 = x + 2 + ... 6 Yı = 1 + + 2 6 + ... and y2 = x + x7 + + + ... 2 2 4 + + + + + +

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Find two power series solutions of the given differential equation about the ordinary point x = у" - (х + 1)у' - у 3D 0 x2 - x3 2 x2 and y2 = x + - 2 Yi = 1 - + + 6 12 + 4 Yi = 1 + X 2 + + ... and Y2 = x + + + 6. 6 2 4 x2 x3 Yı = 1 + 2 + ... and Y2 = x + 2 + ... 6 Yı = 1 + + 2 6 + ... and y2 = x + x7 + + + ... 2 2 4 + + + + + +
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = у" - (х + 1)у' - у 3D 0 x2 - x3 2 x2 and y2 = x + - 2 Yi = 1 - + + 6 12 + 4 Yi = 1 + X 2 + + ... and Y2 = x + + + 6. 6 2 4 x2 x3 Yı = 1 + 2 + ... and Y2 = x + 2 + ... 6 Yı = 1 + + 2 6 + ... and y2 = x + x7 + + + ... 2 2 4 + + + + + +
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