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Use Laplace transforms to solve the following differential equations. a) + 5y = 3 , given that y = 1 when t = 0

Use Laplace transforms to solve the following differential equations. a) + 5y = 3 , given that y = 1 when t = 0

Linear Algebra: A Modern Introduction
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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Use Laplace transforms to solve the following differential equations. a) dy given that y = 1 when t = 0 dt b) d?y + 5y = 2t, dy 1 when t = 0 dt given that y = 0 and dt2 c) Briefly discuss how the substitution s = juw may be used to characterise, and optionally display, the frequency response of a system whose transfer function is an expression in the s-domain.
Transcribed Image Text:Use Laplace transforms to solve the following differential equations. a) dy given that y = 1 when t = 0 dt b) d?y + 5y = 2t, dy 1 when t = 0 dt given that y = 0 and dt2 c) Briefly discuss how the substitution s = juw may be used to characterise, and optionally display, the frequency response of a system whose transfer function is an expression in the s-domain.
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