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Find the power series solution for the differential equation y" + 3xy'-y=0 with the initial conditions y (0) = 2 and y'(0) = 0. A y=x²+ 5 12 11x6 +. 72

Find the power series solution for the differential equation y" + 3xy'-y=0 with the initial conditions y (0) = 2 and y'(0) = 0. A y=x²+ 5 12 11x6 +. 72

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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Find the power series solution for the differential equation y" + 3xy'-y=0 with the initial conditions y (0) = 2 and y'(0) = 0. (Α B y=x²+ y=x²_ D 5 - 12 5 12 ·x + 5 11 72 5 11 © x=2+x² + ²x++ = 2x² + ... с 4 X 12 72 12 -xo+... 11 72 Ⓒy=2+x²–2x++ 11x6+ ... 72 6+... 4
Transcribed Image Text:Find the power series solution for the differential equation y" + 3xy'-y=0 with the initial conditions y (0) = 2 and y'(0) = 0. (Α B y=x²+ y=x²_ D 5 - 12 5 12 ·x + 5 11 72 5 11 © x=2+x² + ²x++ = 2x² + ... с 4 X 12 72 12 -xo+... 11 72 Ⓒy=2+x²–2x++ 11x6+ ... 72 6+... 4
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