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
1.1 Mathematical Models And Solutions 1.2 Qualitative Methods: Phase Lines And Direction Fields 1.3 Definitions, Classification, And Terminology expand_more
Problem 1P: In each of Problems through , determine the order of the given differential equation; also state... Problem 2P: In each of Problems 1 through 6, determine the order of thegiven differential equation; also state... Problem 3P: In each of Problems 1 through 6, determine the order of thegiven differential equation; also state... Problem 4P: In each of Problems through , determine the order of the given differential equation; also state... Problem 5P: In each of Problems through , determine the order of the given differential equation; also state... Problem 6P: In each of Problems through , determine the order of the given differential equation; also state... Problem 7P: Show that Eq. (10) can be matched to each equation in Problems through by a suitable choice of ,... Problem 8P: Show that Eq. (10) can be matched to each equation in Problems through by a suitable choice of ,... Problem 9P: Show that Eq. (10) can be matched to each equation in Problems through by a suitable choice of ,... Problem 10P: Show that Eq. (10) can be matched to each equation in Problems 7 through 12 by a suitable choice of... Problem 11P: Show that Eq. (10) can be matched to each equation in Problems through by a suitable choice of ,... Problem 12P: Show that Eq. (10) can be matched to each equation in Problems through by a suitable choice of ,... Problem 13P: In each of Problems 13 through 20, verify that each givenfunction is a solution of the differential... Problem 14P: In each of Problems through , verify that each given function is a solution of the differential... Problem 15P: In each of Problems through , verify that each given function is a solution of the differential... Problem 16P: In each of Problems 13 through 20, verify that each givenfunction is a solution of the differential... Problem 17P: In each of Problems 13 through 20, verify that each givenfunction is a solution of the differential... Problem 18P: In each of Problems through , verify that each given function is a solution of the differential... Problem 19P: In each of Problems 13 through 20, verify that each givenfunction is a solution of the differential... Problem 20P: In each of Problems through , verify that each given function is a solution of the differential... Problem 21P: In each of Problems 21 through 24, determine the values of r for which the given differential... Problem 22P: In each of Problems through , determine the values of for which the given differential equation... Problem 23P: In each of Problems through , determine the values of for which the given differential equation... Problem 24P: In each of Problems 21 through 24, determine the values of r for which the given differential... Problem 25P: In each of Problems 25 and 26, determine the values of r for which the given differential equation... Problem 26P: In each of Problems 25 and 26, determine the values of r for which the given differential equation... Problem 27P: In Problems 27 through 31, verify that y(t) satisfies the given differential equation. Then... Problem 28P: In Problems through , verify that satisfies the given differential equation. Then determine a... Problem 29P: In Problems through , verify that satisfies the given differential equation. Then determine a... Problem 30P: In Problems 27 through 31, verify that y(t) satisfies the given differential equation. Then... Problem 31P: In Problems through , verify that satisfies the given differential equation. Then determine a... Problem 32P: Verify that the function (t)=c1et+c2e2t is a solution of the linear equation y+3y+2y=0 for any... Problem 33P: Verify that the function is a solution of the linear equation for any choice of constants and .... Problem 34P: Verify that the function (t)=c1etcos2t+c2etsin2t is a solution of the linear equation y+2y+5y=0 for... format_list_bulleted