To solve the algebraic equation y3-y2+e=0, we set y = e/?y1 + ey2 + /2y3+..., then to find the O(e/2), we solve O 2y1Y2 = 3yfy2 - y? O yiy3 = 3yfy2 – yž O 2y1y3 = 3yfy2 + y3 O 2y1Y3 = 3yfy2 y? O Yıy3 = 3yfy2 – 4y;

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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To solve the algebraic equation y3 – y2 + e = 0, we set y = e/2y1+ ey2 + /2 Y3+.. . , then to find the O(e/2), we solve
O 2y1Y2 = 3y?y2 – y?
O 91Y3 = 3yfy2 – yž
O 2y1Y3 = y?Y2 – y?
O 2y1Y3 = 3y?Y2+ y?
%3D
O 2y1Y3 = 3yfy2 – y?
O Y1Y3 = 3y7y2 – 4y?
Transcribed Image Text:To solve the algebraic equation y3 – y2 + e = 0, we set y = e/2y1+ ey2 + /2 Y3+.. . , then to find the O(e/2), we solve O 2y1Y2 = 3y?y2 – y? O 91Y3 = 3yfy2 – yž O 2y1Y3 = y?Y2 – y? O 2y1Y3 = 3y?Y2+ y? %3D O 2y1Y3 = 3yfy2 – y? O Y1Y3 = 3y7y2 – 4y?
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