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 1TFR: True-False Review For Questions (a)(g), decide if the given statement is true or false, and give a... Problem 2TFR Problem 4TFR: True-False Review For Questions (a)(g), decide if the given statement is true or false, and give a... Problem 5TFR: True-False Review For Questions (a)(g), decide if the given statement is true or false, and give a... Problem 6TFR Problem 7TFR Problem 1P: Problems For Problems 1-6, determine fg. f(t)=t, g(t)=1. Problem 2P: Problems For Problems 1-6, determine fg. f(t)=6t2, g(t)=5t3. Problem 3P Problem 4P: Problems For Problems 1-6, determine fg. f(t)=et, g(t)=t. Problem 5P: Problems For Problems 1-6, determine fg. f(t)=t2, g(t)=et. Problem 6P: Problems For Problems 1-6, determine fg. f(t)=et, g(t)=etsint. Problem 7P: Problems Prove that fg=gf. Problem 8P: Problems Prove that f(gh)=(fg)h. Problem 9P: Problems Prove that f(g+h)=(fg)+(fh). Problem 10P: Problems For Problems 10-14, determine L(fg). f(t)=t, g(t)=sint. Problem 11P: Problems For Problems 10-14, determine L(fg). f(t)=e2t, g(t)=1. Problem 12P: Problems For Problems 10-14, determine L(fg). f(t)=sint, g(t)=cos2t. Problem 13P: Problems For Problems 10-14, determine L(fg). f(t)=et, g(t)=te2t. Problem 14P Problem 15P: Problems For Problems 15-20, determine L1[F(s)G(s)] in the following two ways: a using the... Problem 16P: Problems For Problems 15-20, determine L1[F(s)G(s)] in the following two ways: a. using the... Problem 17P Problem 18P Problem 19P Problem 21P Problem 22P: Problems For Problems 21-25, express L1[F(s)G(s)] in terms of a convolution integral.... Problem 23P: Problems For Problems 21-25, express L1[F(s)G(s)] in terms of a convolution integral.... Problem 24P Problem 25P: Problems For Problems 21-25, express L1[F(s)G(s)] in terms of a convolution integral. F(s)=1s1,... Problem 26P Problem 27P: Problems Problems 26-32, solve the given initial-value problem up to the evaluation of a convolution... Problem 28P: Problems Problems 26-32, solve the given initial-value problem up to the evaluation of a convolution... Problem 29P: Problems Problems 26-32, solve the given initial-value problem up to the evaluation of a convolution... Problem 30P: Problems Problems 26-32, solve the given initial-value problem up to the evaluation of a convolution... Problem 31P Problem 32P Problem 33P Problem 34P Problem 35P Problem 36P Problem 37P Problem 38P Problem 39P format_list_bulleted