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such that y(t) = (a + bt)e' + (c + t + t²)e¯* i %3D

such that y(t) = (a + bt)e' + (c + t + t²)e¯* i %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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Consider the initial value problem: y" - y" - y' +y = -e*(4 – 8t), y(0) = 2, y'(0) = 0, y"(0) = 0 The real numbers a, b and e such that y(t) = (a + bt)e" + (c + t + t²)e™* is the exact solution of the IVP are: a= 2, b= -1, c= 1 O a=1, b= -1, c= 1 O a=0, b= 1, c= -1 a=2, b= -2, c= 1
Transcribed Image Text:Consider the initial value problem: y" - y" - y' +y = -e*(4 – 8t), y(0) = 2, y'(0) = 0, y"(0) = 0 The real numbers a, b and e such that y(t) = (a + bt)e" + (c + t + t²)e™* is the exact solution of the IVP are: a= 2, b= -1, c= 1 O a=1, b= -1, c= 1 O a=0, b= 1, c= -1 a=2, b= -2, c= 1
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