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
4.1 Definitions And Examples 4.2 Theory Of Second Order Linear Homogeneous Equations 4.3 Linear Homogeneous Equations With Constant Coefficients 4.4 Mechanical And Electrical Vibrations 4.5 Nonhomogeneous Equations; Method Of Undetermined Coefficients 4.6 Forced Vibrations, Frequency Response, And Resonance 4.7 Variation Of Parameters 4.P1 A Vibration Insulation Problem 4.P2 Linearization Of A Nonlinear Mechanical System 4.P3 A Spring-mass Event Problem 4.P4 Euler–lagrange Equations expand_more
Problem 1P: In each of problems 1 through 16, find the general solution of the given differential equation:
Problem 2P: In each of problems 1 through 16, find the general solution of the given differential equation:
Problem 3P: In each of problems 1 through 16, find the general solution of the given differential equation:
Problem 4P: In each of problems 1 through 16, find the general solution of the given differential equation:... Problem 5P: In each of problems 1 through 16, find the general solution of the given differential equation:
Problem 6P: In each of problems 1 through 16, find the general solution of the given differential equation:
Problem 7P: In each of problems 1 through 16, find the general solution of the given differential equation:
... Problem 8P: In each of problems 1 through 16, find the general solution of the given differential equation:
... Problem 9P: In each of problems 1 through 16, find the general solution of the given differential equation:
... Problem 10P: In each of problems 1 through 16, find the general solution of the given differential equation:... Problem 11P: In each of problems 1 through 16, find the general solution of the given differential equation:... Problem 12P: In each of problems 1 through 16, find the general solution of the given differential equation:... Problem 13P: In each of problems 1 through 16, find the general solution of the given differential equation:
Problem 14P: In each of problems 1 through 16, find the general solution of the given differential equation:
Problem 15P: In each of problems 1 through 16, find the general solution of the given differential equation:... Problem 16P: In each of problems 1 through 16, find the general solution of the given differential equation:... Problem 17P: In each of problems 17 through 22, find the solution of the given initial value problem.... Problem 18P: In each of problems 17 through 22, find the solution of the given initial value problem.... Problem 19P: In each of problems 17 through 22, find the solution of the given initial value problem.... Problem 20P: In each of problems 17 through 22, find the solution of the given initial value problem.... Problem 21P: In each of problems 17 through 22, find the solution of the given initial value problem.... Problem 22P: In each of problems 17 through 22, find the solution of the given initial value problem.... Problem 23P: In each of problems 23 through 30: Determine a suitable form for Y(t) if the method of undetermined... Problem 24P: In each of problems 23 through 30:
Determine a suitable form for if the method of undetermined... Problem 25P: In each of problems 23 through 30:
Determine a suitable form for if the method of undetermined... Problem 26P: In each of problems 23 through 30: Determine a suitable form for Y(t) if the method of undetermined... Problem 27P: In each of problems 23 through 30: Determine a suitable form for Y(t) if the method of undetermined... Problem 28P: In each of problems 23 through 30:
Determine a suitable form for if the method of undetermined... Problem 29P: In each of problems 23 through 30: Determine a suitable form for Y(t) if the method of undetermined... Problem 30P: In each of problems 23 through 30: Determine a suitable form for Y(t) if the method of undetermined... Problem 31P: Consider the equation
(i)
From Example 5. Recall that and are solutions of the... Problem 32P: Nonhomogeneous Cauchy-Euler Equations. In each of problems 32 through 35, find the general solution... Problem 33P: Nonhomogeneous Cauchy-Euler Equations. In each of problems 32 through 35, find the general solution... Problem 34P: Nonhomogeneous Cauchy-Euler Equations. In each of problems 32 through 35, find the general solution... Problem 35P: Nonhomogeneous Cauchy-Euler Equations. In each of problems 32 through 35, find the general solution... Problem 36P: Determine the general solution of
,
Where and for .
Problem 37P: In many physical problems, the nonhomogeneous term may be specified by different formulas in... Problem 38P: Follow the instructions in Problem 37 to solve the differential equation
With the initial... format_list_bulleted