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Consider the initial value problem: y - 2y"-5y' + 6y = 2e'(1 - 6t), y(0) = 2, y'(0) = 7,y"(0) = 9 The real numbers a, b and c such that y(t) = (a + t2)e + be-2t + ce3t is the exact solution of the IVP are: a= 2, b= -1, c= 1 O a=1, b= -1, c= 1 a=0, b= 1, c= -1 a=2, b= -2, c= 1

Consider the initial value problem: y - 2y"-5y' + 6y = 2e'(1 - 6t), y(0) = 2, y'(0) = 7,y"(0) = 9 The real numbers a, b and c such that y(t) = (a + t2)e + be-2t + ce3t is the exact solution of the IVP are: a= 2, b= -1, c= 1 O a=1, b= -1, c= 1 a=0, b= 1, c= -1 a=2, b= -2, c= 1

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"- 2y"- 5y' + 6y = 2e'(1 - 6t), y(0) = 2, y'(0) = 7,y"(0) = 9 The real numbers a, b and c such that y(t) = (a +t?)et + be 2t + ce3t is the exact solution of the IVP are: a= 2, b= -1, c= 1 a=1, b= -1, c= 1 a=0, b=D 1, c= -1 a=2, b= -2, c= 1
Transcribed Image Text:Consider the initial value problem: y"- 2y"- 5y' + 6y = 2e'(1 - 6t), y(0) = 2, y'(0) = 7,y"(0) = 9 The real numbers a, b and c such that y(t) = (a +t?)et + be 2t + ce3t is the exact solution of the IVP are: a= 2, b= -1, c= 1 a=1, b= -1, c= 1 a=0, b=D 1, c= -1 a=2, b= -2, c= 1
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