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Determine if y(t) = 9t + t² is a solution of the differential equation ty' - y = 1². la) Find y' (t). y' (t) = 1² + c₁t 8 1b) Given that y'(t) = 9+ 2t, substitute and simplify the expression ty' - y. NOTE: Fully simplify your answer. ty-y= Done

Determine if y(t) = 9t + t² is a solution of the differential equation ty' - y = 1². la) Find y' (t). y' (t) = 1² + c₁t 8 1b) Given that y'(t) = 9+ 2t, substitute and simplify the expression ty' - y. NOTE: Fully simplify your answer. ty-y= Done

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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Determine if y(t) = 9t+t² is a solution of the differential equation ty' - y = 1². la) Find y'(t). y' (t) = t² + c₁t 8 1b) Given that y'(t) = 9+ 2t, substitute and simplify the expression tyy. NOTE: Fully simplify your answer. ty' - y = Done 1c) The parts of this question must be completed in order. This part will be available when you complete the part above.
Transcribed Image Text:Determine if y(t) = 9t+t² is a solution of the differential equation ty' - y = 1². la) Find y'(t). y' (t) = t² + c₁t 8 1b) Given that y'(t) = 9+ 2t, substitute and simplify the expression tyy. NOTE: Fully simplify your answer. ty' - y = Done 1c) The parts of this question must be completed in order. This part will be available when you complete the part above.
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