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The nonlinear equation Yk+1 = (1+ y)3, 1/3 under the substitution k = Y , becomes X k+1 = Xk +1, the solution of which is Xk = c+ k. Therefore, a solution to equation (6.94) is Yk = (c+ k)³.

The nonlinear equation Yk+1 = (1+ y)3, 1/3 under the substitution k = Y , becomes X k+1 = Xk +1, the solution of which is Xk = c+ k. Therefore, a solution to equation (6.94) is Yk = (c+ k)³.

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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6.5.5 Example E The nonlinear equation Yk+1 = (1+ y)³, (6.94) under the substitution xk = yi°, becomes 1/3 Xk+1 = Xk+1 (6.95) the solution of which is =c+ k.) (6.96) Therefore, a solution to equation (6.94) is Yk = (c+ k)³. (6.97)
Transcribed Image Text:6.5.5 Example E The nonlinear equation Yk+1 = (1+ y)³, (6.94) under the substitution xk = yi°, becomes 1/3 Xk+1 = Xk+1 (6.95) the solution of which is =c+ k.) (6.96) Therefore, a solution to equation (6.94) is Yk = (c+ k)³. (6.97)
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