or the following DEs find the order and decide whether they are linear or non-linear. (1) y(t) – y"(t) + vt y (t) = t° , t> 1. (2) ty"(t) + 5y' (t) = v=t, t<0 (3) y"(t) +5 y²(t) + y'(t) = t , t> 0.
or the following DEs find the order and decide whether they are linear or non-linear. (1) y(t) – y"(t) + vt y (t) = t° , t> 1. (2) ty"(t) + 5y' (t) = v=t, t<0 (3) y"(t) +5 y²(t) + y'(t) = t , t> 0.
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
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33fd7ef1-131c-43f0-ae6f-a624085b23d6%2F5a7d260f-bb30-4fe2-a021-248988d06de7%2F2rfsck6_processed.jpeg&w=3840&q=75)
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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