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2d) Let a e R find the solution of y' (x) – ay(x) = 0 2e) use 2d) to find a solution of the equation y"(x) – 2ay'(x) + a²y(x) = 0 2f) do the same as in 2e) to solve y"''(x) – 3ay"(x) + 3ay" (x) – a³y(x) = 0 Note that (2 – a)3 = 23 – 3ar² + 3a²1 – a³ %3D

2d) Let a e R find the solution of y' (x) – ay(x) = 0 2e) use 2d) to find a solution of the equation y"(x) – 2ay'(x) + a²y(x) = 0 2f) do the same as in 2e) to solve y"''(x) – 3ay"(x) + 3ay" (x) – a³y(x) = 0 Note that (2 – a)3 = 23 – 3ar² + 3a²1 – a³ %3D

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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2d) Let a e R find the solution of y' (x) – ay(x) = 0 2e) use 2d) to find a solution of the equation y"(x) – 2ay' (x) + a²y(x) = 0 2f) do the same as in 2e) to solve y"''(x) – 3ay"(x) + 3ay" (x) – a³y(x) = 0 Note that (2 – a)3 = 23 – 3ar² + 3a²1 – a³ %3D
Transcribed Image Text:2d) Let a e R find the solution of y' (x) – ay(x) = 0 2e) use 2d) to find a solution of the equation y"(x) – 2ay' (x) + a²y(x) = 0 2f) do the same as in 2e) to solve y"''(x) – 3ay"(x) + 3ay" (x) – a³y(x) = 0 Note that (2 – a)3 = 23 – 3ar² + 3a²1 – a³ %3D
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