Transform: F(s) = (s+2)(s−1)(s−2) O f(t) = −e-² – 3c′ – 4e²¹ 21 O f(t) = c-²¹ - 3e O f(t) = −e²¹ – 3e' + 4e-²¹ 21 O ƒ(t) = e ² + 3e" 4e²1 O ƒ(t) = −e^² + 3e' + 4e² Of(t) = c 2 +3e' + 4e2 © f(t) = c-²¹ - 3c¹ - 4e²¹ 27 Of(t)- 3e-4e²

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Transform:
F(s) = (s+2)(s−1)(s−2)
O f(t) = −e-² – 3c′ – 4e²¹
21
O f(t) = c-²¹ - 3e
O f(t) = −e²¹ – 3e' + 4e-²¹
21
O ƒ(t) = e ² + 3e"
4e²1
O ƒ(t) = −e^² + 3e' + 4e²
Of(t) = c 2 +3e' + 4e2
© f(t) = c-²¹ - 3c¹ - 4e²¹
27
Of(t)-
3e-4e²
Transcribed Image Text:Transform: F(s) = (s+2)(s−1)(s−2) O f(t) = −e-² – 3c′ – 4e²¹ 21 O f(t) = c-²¹ - 3e O f(t) = −e²¹ – 3e' + 4e-²¹ 21 O ƒ(t) = e ² + 3e" 4e²1 O ƒ(t) = −e^² + 3e' + 4e² Of(t) = c 2 +3e' + 4e2 © f(t) = c-²¹ - 3c¹ - 4e²¹ 27 Of(t)- 3e-4e²
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