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(b) L = (xD – 4+ 2i)(xD – 4 – 2i)(xD – 5)² and L[y) = VT + sin(2 ln(x)) + 7x5 |

(b) L = (xD – 4+ 2i)(xD – 4 – 2i)(xD – 5)² and L[y) = VT + sin(2 ln(x)) + 7x5 |

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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Given the following linear differential equation (in operator/factored form), first, find the general 0. Call your solution homogeneous solution Yh. Then give the solution of the homogeneous equation L[y] = minimal template solution (i.e. guess) required by the method of annihilators (AKA undetermined coefficients). Call your template/guess yp. (a) L= = 5te-2t + 2e3t sin(4t) + 99 (D+2)(D – 1)²(D² – 6D + 25) and L[y] (b) L= = Va + sin(2 In(x)) + 7x³ (xD – 4+2i)(xD – 4 – 2i)(xD – 5)² and L[y] |
Transcribed Image Text:Given the following linear differential equation (in operator/factored form), first, find the general 0. Call your solution homogeneous solution Yh. Then give the solution of the homogeneous equation L[y] = minimal template solution (i.e. guess) required by the method of annihilators (AKA undetermined coefficients). Call your template/guess yp. (a) L= = 5te-2t + 2e3t sin(4t) + 99 (D+2)(D – 1)²(D² – 6D + 25) and L[y] (b) L= = Va + sin(2 In(x)) + 7x³ (xD – 4+2i)(xD – 4 – 2i)(xD – 5)² and L[y] |
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