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Consider the initial value problem (*) y(t) 't y" + (2t+2) y' + (t + 2) y = 0 6 y(1) = = 7 - e and y'(1) = = Given that y, (t) = e-t is a solution of the differential equation, solve the initial value problem (*) 13 3 t + € 13 e Your answer should be a function of t. 8 3 - e

Consider the initial value problem (*) y(t) 't y" + (2t+2) y' + (t + 2) y = 0 6 y(1) = = 7 - e and y'(1) = = Given that y, (t) = e-t is a solution of the differential equation, solve the initial value problem (*) 13 3 t + € 13 e Your answer should be a function of t. 8 3 - e

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 Sty". + (2t + 2) y' + (t + 2) y = 0 7 6 y(1) e Given that y₁ (t) = e-t is a solution of the differential equation, solve the initial value problem (*) (*) y(t) = € ²¹ ( 1 / ²³² + 1 ) 13 3 t 3 Your answer should be a function of t. = and y'(1) = = - e
Transcribed Image Text:Consider the initial value problem Sty". + (2t + 2) y' + (t + 2) y = 0 7 6 y(1) e Given that y₁ (t) = e-t is a solution of the differential equation, solve the initial value problem (*) (*) y(t) = € ²¹ ( 1 / ²³² + 1 ) 13 3 t 3 Your answer should be a function of t. = and y'(1) = = - e
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