1 First-order Differential Equations 2 Matrices And Systems Of Linear Equations 3 Determinants 4 Vector Spaces 5 Inner Product Spaces 6 Linear Transformations 7 Eigenvalues And Eigenvectors 8 Linear Differential Equations Of Ordern 9 Systems Of Differential Equations 10 The Laplace Transform And Some Elementary Applications 11 Series Solutions To Linear Differential Equations A Review Of Complex Numbers B Review Of Partial Fractions C Review Of Integration Techniques expand_more
10.1 Definition Of The Laplace Transform 10.2 The Existence Of The Laplace Transform And The Inverse Transform 10.3 Periodic Functions And The Laplace Transform 10.4 The Transform Of Derivatives And Solution Of Initial-value Problems 10.5 The First Shifting Theorem 10.6 The Unit Step Function 10.7 The Second Shifting Theorem 10.8 Impulsive Driving Terms: The Dirac Delta Function 10.9 The Convolution Integral 10.10 Chapter Review expand_more
Problem 1AP Problem 2AP Problem 3AP Problem 4AP Problem 5AP Problem 7AP Problem 8AP Problem 9AP Problem 10AP Problem 11AP: For Problems 11-19, use properties of the Laplace transform and the table of Laplace transforms to... Problem 12AP Problem 13AP Problem 14AP Problem 15AP: For Problems 11-19, use properties of the Laplace transform and the table of Laplace transforms to... Problem 16AP Problem 17AP Problem 18AP Problem 19AP Problem 20AP Problem 21AP: For Problems 20-25, determine a function f(t) that has the given Laplace transform F(s).... Problem 22AP: For problems 20-25, determine a function f(t) that has the given Laplace transform F(s).... Problem 23AP: For problems 20-25, determine a function f(t) that has the given Laplace transform F(s).... Problem 24AP: For problems 20-25, determine a function f(t) that has the given Laplace transform F(s).... Problem 25AP: For problems 20-25, determine a function f(t) that has the given Laplace transform F(s).... Problem 26AP Problem 27AP: For Problems 26-28, sketch f(t), express f(t) in terms of ua(t), and determine L{f(t)}.... Problem 28AP: For Problems 26-28, sketch f(t), express f(t) in terms of ua(t), and determine L{f(t)}.... Problem 29AP Problem 30AP Problem 31AP Problem 32AP: Let y(t) be the solution to the initial-value problem y+ay=f(t), y(0)=y0, where a and y0 are... Problem 33AP: Show that the general solution to the initial-value problem y(n)+a1y(n1)++any=f(t), y(0)=0,... Problem 34AP: For Problems 34-40, use the Laplace transform to solve the given initial-value problem. y3y4y=4et,... Problem 35AP: For Problems 34-40, use the Laplace transform to solve the given initial-value problem. y2y8y=5,... Problem 36AP: For Problems 34-40, use the Laplace transform to solve the given initial-value problem. y+9y=8cos3t,... Problem 37AP: For Problems 34-40, use the Laplace transform to solve the given initial-value problem.... Problem 38AP: For Problems 34-40, use the Laplace transform to solve the given initial-value problem.... Problem 39AP Problem 40AP: For Problems 34-40, use the Laplace transform to solve the given initial-value problem.... Problem 41AP: For Problems 41-44, use the Laplace transform to solve the given system of differential equations... Problem 42AP: For Problems 41-44, use the Laplace transform to solve the given system of differential equations... Problem 43AP: For Problems 41-44, use the Laplace transform to solve the given system of differential equations... Problem 44AP: For Problems 41-44, use the Laplace transform to solve the given system of differential equations... Problem 45AP Problem 46AP Problem 47AP: For Problems 45-48, use the Laplace transform to solve the given integral equation.... Problem 48AP format_list_bulleted