1 Introduction 2 First-order Differential Equations 3 Mathematical Models And Numerical Methods Involving First-order Equations 4 Linear Second-order Equations 5 Introduction To Systems And Phase Plane Analysis 6 Theory Of Higher-order Linear Differential Equations 7 Laplace Transforms 8 Series Solutions Of Differential Equations 9 Matrix Methods For Linear Systems 10 Partial Differential Equations 11 Eigenvalue Problems And Sturm–liouville Equations 12 Stability Of Autonomous Systems 13 Existence And Uniqueness Theory A Appendix A Review Of Integration Techniques expand_more
4.1 Introduction: The Mass-spring Oscillator 4.2 Homogeneous Linear Equations: The General Solution 4.3 Auxiliary Equations With Complex Roots 4.4 Nonhomogeneous Equations: The Method Of Undetermined Coefficients 4.5 The Superposition Principle And Undetermined Coefficients Revisited 4.6 Variation Of Parameters 4.7 Variable-coefficient Equations 4.8 Qualitative Considerations For Variable-coefficient And Nonlinear Equations 4.9 A Closer Look At Free Mechanical Vibrations 4.10 A Closer Look At Forced Mechanical Vibrations 4.RP Review Problems For Chapter 4 expand_more
Problem 1E: In Problem 1-8, decide whether or not the method of undetermined coefficient can be applied to find... Problem 2E: In Problem 1-8, decide whether or not the method of undetermined coefficients can be applied to find... Problem 3E: In Problem 1-8, decide whether or not the method of undetermined coefficient can be applied to find... Problem 4E: In Problem 1-8, decide whether or not the method of undetermined coefficient can be applied to find... Problem 5E: In Problem 1-8, decide whether or not the method of undetermined coefficient can be applied to find... Problem 6E Problem 7E: In Problem 1-8, decide whether or not the method of undetermined coefficient can be applied to find... Problem 8E Problem 9E: In Problems 9-26, find a particular solution to the differential equation. y+3y=9 Problem 10E: In Problems 9-26, find a particular solution to the differential equation. y+2yy=10 Problem 11E: In Problem 9-26, find a particular solution to the differential equation. y(x)+y(x)=2x Problem 12E Problem 13E: In Problems 9-26, find a particular solution to the differential equation. yy+9y=3sin3t Problem 14E: In Problems 9-26, find a particular solution to the differential equation. 2z+z=9e2t Problem 15E: In Problems 9-26, find a particular solution to the differential equation. d2ydx25dydx+6y=xex Problem 16E Problem 17E: In Problems 9-26, find a particular solution to the differential equation. y+4y=8sin2t Problem 18E Problem 19E: In Problems 9-26, find a particular solution to the differential equation. 4y+11y3y=2te3t Problem 20E Problem 21E: In Problems 9-26, find a particular solution to the differential equation. x(t)4x(t)+4x(t)=te2t Problem 22E: In Problems 9-26, find a particular solution to the differential equation. x(t)2x(t)+x(t)=24t2et Problem 23E: In Problems 9-26, find a particular solution to the differential equation. y()7y()=2 Problem 24E: In Problems 9-26, find a particular solution to the differential equation. y(x)+y(x)=4xcosx Problem 25E: In Problems 9-26, find a particular solution to the differential equation. y+2y+4y=111e2tcos3t Problem 26E: In Problems 9-26, find a particular solution to the differential equation. y+2y+2y=4tetcost Problem 27E: In Problems 2732, determine the form of a particular solution for the differential equation. Do not... Problem 28E: In Problems 27 32, determine the form of a particular solution for the differential equation. Do not... Problem 29E: In Problems 2732, determine the form of a particular solution for the differential equation. Do not... Problem 30E: In Problems 2732, determine the form of a particular solution for the differential equation. Do not... Problem 31E Problem 32E: In Problems 2732, determine the form of a particular solution for the differential equation. Do not... Problem 33E Problem 34E: In Problems 3336, use the method of undetermined coefficients to find a particular solution to the... Problem 35E Problem 36E: In Problems 3336, use the method of undetermined coefficients to find a particular solution to the... format_list_bulleted