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1. For the following DEs find the order and decide whether they are linear or non-linear. (1) y(t) – y"(t) + vty(t) = t³ , t> 1. (2) ty"(t) + 5y' (t) = v=t, t<0 (3) y"(t) +5 y²(t) + y'(t) = t , t >0. y'(t) – Vy*(t) + 2t = 0 , t> 0. (5) y(t)y'(t) – 7y(t) =t, tER. (4)

1. For the following DEs find the order and decide whether they are linear or non-linear. (1) y(t) – y"(t) + vty(t) = t³ , t> 1. (2) ty"(t) + 5y' (t) = v=t, t<0 (3) y"(t) +5 y²(t) + y'(t) = t , t >0. y'(t) – Vy*(t) + 2t = 0 , t> 0. (5) y(t)y'(t) – 7y(t) =t, tER. (4)

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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1. For the following DEs find the order and decide whether they are linear or non-linear. (1) y(^(t) – y"(t) + Vt y(t) = t³ , t>1. (2) t²y"(t) + 5y (t) = v=t, t< 0 (3) y"(t) + 5 y²(t) + y'(t) = t , t> 0 %3D %3| (4) y'(t) – Vy+(t) + 2t = 0 , t > 0. (5) y(t)y'(t) – 7y(t) = t, teR. %3D
Transcribed Image Text:1. For the following DEs find the order and decide whether they are linear or non-linear. (1) y(^(t) – y"(t) + Vt y(t) = t³ , t>1. (2) t²y"(t) + 5y (t) = v=t, t< 0 (3) y"(t) + 5 y²(t) + y'(t) = t , t> 0 %3D %3| (4) y'(t) – Vy+(t) + 2t = 0 , t > 0. (5) y(t)y'(t) – 7y(t) = t, teR. %3D
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