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Find two power series solutions of the given differential equation about the ordinary point x = 0. у" + ху = 0 ,3 4 = x + 12 x' Y, = 1 + 6 and Y2 180 504 .3 O Y1 4 + 12 = 1 + x2 and y, = x + x² + ,2 + 2 4 O Y1 = 1 and Y2= X - 24 120 .3 4 O Y1* x7 + = 1 and = X - 6 180 12 504 x2 + 2 24 4 x3 x5 O Y1 = 1 + and y, = xX + + + 6 120 + ...

Find two power series solutions of the given differential equation about the ordinary point x = 0. у" + ху = 0 ,3 4 = x + 12 x' Y, = 1 + 6 and Y2 180 504 .3 O Y1 4 + 12 = 1 + x2 and y, = x + x² + ,2 + 2 4 O Y1 = 1 and Y2= X - 24 120 .3 4 O Y1* x7 + = 1 and = X - 6 180 12 504 x2 + 2 24 4 x3 x5 O Y1 = 1 + and y, = xX + + + 6 120 + ...

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 two power series solutions of the given differential equation about the ordinary point x = 0. у" + ху 3D0 x3 x7 + 4 O Y1 = 1 + and = x + 12 + Y2 6 180 504 x3 + ... + 6 4 O Y1 = 1 + x2 and = x + x2 + + 12 x5 + 4 .3 O y, = 1 Y = and Y2 = + X - 24 6. 120 O y1 = 1 x + x4 x' + and y, 3D х — = 180 12 504 2 1 + .3 x Y, = x + 4 O y1 = + and + + ... 24 6. 120 +
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0. у" + ху 3D0 x3 x7 + 4 O Y1 = 1 + and = x + 12 + Y2 6 180 504 x3 + ... + 6 4 O Y1 = 1 + x2 and = x + x2 + + 12 x5 + 4 .3 O y, = 1 Y = and Y2 = + X - 24 6. 120 O y1 = 1 x + x4 x' + and y, 3D х — = 180 12 504 2 1 + .3 x Y, = x + 4 O y1 = + and + + ... 24 6. 120 +
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