Problem 1: Convert the following higher-order ODEs into a system of first ord ODEs (no need to solve the system). You will need to convert the initial conditio as well. [Note that apostrophes are shorthand for derivatives] (a) y"" + 3y" - 2y' + y = 0; y(0) = 2; y'(0) = 1; y"(0) = 3 (b) y" = sin(x); y(0) = 1; y'(0) = 0; y"(0) = 4 (c) (yy')' + y = 0; y(0) = 2; y'(0) = 1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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Problem 1: Convert the following higher-order ODEs into a system of first order
ODES (no need to solve the system). You will need to convert the initial conditions
as well. [Note that apostrophes are shorthand for derivatives]
(a) y'" + 3y" - 2y' + y = 0; y(0) = 2; y'(0) = 1; y"(0) = 3
(b) y"" = sin (x); y(0) = 1; y'(0) = 0; y"(0) = 4
(c) (yy')' + y = 0; y(0) = 2; y'(0) = 1
Transcribed Image Text:Problem 1: Convert the following higher-order ODEs into a system of first order ODES (no need to solve the system). You will need to convert the initial conditions as well. [Note that apostrophes are shorthand for derivatives] (a) y'" + 3y" - 2y' + y = 0; y(0) = 2; y'(0) = 1; y"(0) = 3 (b) y"" = sin (x); y(0) = 1; y'(0) = 0; y"(0) = 4 (c) (yy')' + y = 0; y(0) = 2; y'(0) = 1
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9780321964038
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