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)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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Question

4 and 5

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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