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, find the Laplace transform of the given function. Assume that and are... Problem 2P: In each of Problems through, find the Laplace transform of the given function. Assume that and are... Problem 3P: In each of Problems 1 through 10, find the Laplace transform of the given function. Assume that a... Problem 4P: In each of Problems through, find the Laplace transform of the given function. Assume that and are... Problem 5P: In each of Problems through, find the Laplace transform of the given function. Assume that and are... Problem 6P: In each of Problems through, find the Laplace transform of the given function. Assume that and are... Problem 7P: In each of Problems 1 through 10, find the Laplace transform of the given function. Assume that a... Problem 8P: In each of Problems through, find the Laplace transform of the given function. Assume that and are... Problem 9P: In each of Problems 1 through 10, find the Laplace transform of the given function. Assume that a... Problem 10P: In each of Problems through, find the Laplace transform of the given function. Assume that and are... Problem 11P: (a) Let F(s)=L{f(t)}, where f(t) is piecewise continuous and of exponential order on [0,). Show that... Problem 12P: In each of Problems through, transform the given initial value problem into an algebraic equation... Problem 13P: In each of Problems through, transform the given initial value problem into an algebraic equation... Problem 14P: In each of Problems 12 through 21, transform the given initial value problem into an algebraic... Problem 15P: In each of Problems 12 through 21, transform the given initial value problem into an algebraic... Problem 16P: In each of Problems 12 through 21, transform the given initial value problem into an algebraic... Problem 17P: In each of Problems 12 through 21, transform the given initial value problem into an algebraic... Problem 18P: In each of Problems through, transform the given initial value problem into an algebraic equation... Problem 19P: In each of Problems through, transform the given initial value problem into an algebraic equation... Problem 20P: In each of Problems 12 through 21, transform the given initial value problem into an algebraic... Problem 21P: In each of Problems 12 through 21, transform the given initial value problem into an algebraic... Problem 22P: In section 4.1 the differential equation for the charge on the capacitor of the RCL circuit... Problem 23P: In each of Problems through, find the Laplace transformation of the solution of the given initial... Problem 24P: In each of Problems 23 through 27, find the Laplace transformation Y(s)=L{y} of the solution of the... Problem 25P: In each of Problems 23 through 27, find the Laplace transformation Y(s)=L{y} of the solution of the... Problem 26P: In each of Problems 23 through 27, find the Laplace transformation Y(s)=L{y} of the solution of the... Problem 27P: In each of Problems 23 through 27, find the Laplace transformation Y(s)=L{y} of the solution of the... Problem 28P: The Laplace transforms of certain functions can be found conveniently from their Taylor series... Problem 29P: For each of the following initial value problems, use Theorem to find the differential equation... format_list_bulleted