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Find the solution of the initial-value problem y" − 3y" + 16y' - 48y: = sec 4t, y(0) = 2, y'(0) = −11 y" (0) = = " 2 2 A fundamental set of solutions of the homogeneous equation is given by the functions:

Find the solution of the initial-value problem y" − 3y" + 16y' - 48y: = sec 4t, y(0) = 2, y'(0) = −11 y" (0) = = " 2 2 A fundamental set of solutions of the homogeneous equation is given by the functions:

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 7EQ
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A particular solution is given by: Y(t) = f to + + Therefore the solution of the initial-value problem is: y(t) = ds y₁(t) •Y₂(t) Y3(t) +Y(t)
Transcribed Image Text:A particular solution is given by: Y(t) = f to + + Therefore the solution of the initial-value problem is: y(t) = ds y₁(t) •Y₂(t) Y3(t) +Y(t)
Find the solution of the initial-value problem y"" - 3y" + 16y' – 48y = sec 4t, y(0) = 2, y'(0) : = A fundamental set of solutions of the homogeneous equation is given by the functions: y₁(t) = eat, where a = y₂(t) = = -11 -2¹, 3²(0) = 1/2/2 y”(0) yz(t): A particular solution is given by:
Transcribed Image Text:Find the solution of the initial-value problem y"" - 3y" + 16y' – 48y = sec 4t, y(0) = 2, y'(0) : = A fundamental set of solutions of the homogeneous equation is given by the functions: y₁(t) = eat, where a = y₂(t) = = -11 -2¹, 3²(0) = 1/2/2 y”(0) yz(t): A particular solution is given by:
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