1 Introduction 2 First Order Differential Equations 3 Systems Of Two First Order Equations 4 Second Order Linear Equations 5 The Laplace Transform 6 Systems Of First Order Linear Equations 7 Nonlinear Differential Equations And Stability 8 Numerical Methods A Matrices And Linear Algebra expand_more
5.1 Definition Of The Laplace Transform 5.2 Properties Of The Laplace Transform 5.3 The Inverse Laplace Transform 5.4 Solving Differential Equations With Laplace Transforms 5.5 Discontinuous Functions And Periodic Functions 5.6 Differential Equations With Discontinuous Forcing Functions 5.7 Impulse Functions 5.8 Convolution Integrals And Their Applications 5.9 Linear Systems And Feedback Control 5.P1 An Electric Circuit Problem 5.P2 The Watt Governor, Feedback Control, And Stability expand_more
Problem 1P: In each of Problems through , sketch the graph of the given function on the interval :
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Problem 2P: In each of Problems 1 through 6, sketch the graph of the given function on the interval t0:... Problem 3P: In each of Problems 1 through 6, sketch the graph of the given function on the interval t0:... Problem 4P: In each of Problems through , sketch the graph of the given function on the interval :
, where... Problem 5P: In each of Problems through , sketch the graph of the given function on the interval :
,... Problem 6P: In each of Problems through , sketch the graph of the given function on the interval :
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Problem 7P: In each of Problems 7 through 12, find the Laplace transform of the given function:... Problem 8P: In each of Problems 7 through 12, find the Laplace transform of the given function:... Problem 9P: In each of Problems through , find the Laplace transform of the given function:
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Problem 10P: In each of Problems through , find the Laplace transform of the given function:
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Problem 11P: In each of Problems through , find the Laplace transform of the given function:
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Problem 12P: In each of Problems through , find the Laplace transform of the given function:
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Problem 13P: In each of Problems 13 through 18, find the inverse Laplace transform of the given function:... Problem 14P: In each of Problems through , find the inverse Laplace transform of the given function:
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Problem 15P: In each of Problems 13 through 18, find the inverse Laplace transform of the given function:... Problem 16P: In each of Problems 13 through 18, find the inverse Laplace transform of the given function:... Problem 17P: In each of Problems through , find the inverse Laplace transform of the given function:
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Problem 18P: In each of Problems 13 through 18, find the inverse Laplace transform of the given function:... Problem 19P: In each of Problems through , find the Laplace transform of the given function:
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Problem 20P: In each of Problems 19 through 21, find the Laplace transform of the given function:... Problem 21P: In each of Problems through , find the Laplace transform of the given function:
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Problem 22P: In each of Problems through , find the Laplace transform of the periodic function:
and has... Problem 23P: In each of Problems through , find the Laplace transform of the periodic function:
and has... Problem 24P: In each of Problems 22 through 24, find the Laplace transform of the periodic function: f(t)=sint,0t... Problem 25P: (a) If f(t)=1u1(t), find L{f(t)}; compare with Problem 19. Sketch the graph of y=f(t). (b) Let... Problem 26P: Consider the function defined by
and has period .
Sketch the graph of .
Find by noting that is... format_list_bulleted