Solutions for Student Solutions Manual For Zill's A First Course In Differential Equations With Modeling Applications, 11th
Problem 1E:
In Problems 14 the given family of functions is the general solution of the differential equation on...Problem 2E:
In Problems 14 the given family of functions is the general solution of the differential equation on...Problem 3E:
In Problems 14 the given family of functions is the general solution of the differential equation on...Problem 4E:
In Problems 14 the given family of functions is the general solution of the differential equation on...Problem 5E:
Given that y=c1+c2x2 is a two-parameter family of solutions of xyy=0 on the interval (,), show that...Problem 6E:
Find two members of the family of solutions in Problem 5 that satisfy the initial conditions...Problem 7E:
Given that x(t) = c1 cos t + c2 sin t is the general solution of x + 2x = 0 on the interval (, ),...Problem 8E:
Use the general solution of x + 2x = 0 given in Problem 7 to show that a solution satisfying the...Problem 9E:
In Problems 9 and 10 find an interval centered about x = 0 for which the given initial-value problem...Problem 10E:
In Problems 9 and 10 find an interval centered about x = 0 for which the given initial-value problem...Problem 11E:
(a) Use the family in Problem 1 to find a solution of y y = 0 that satisfies the boundary...Problem 12E:
Use the family in Problem 5 to find a solution of xyy=0 that satisfies the boundary conditions...Problem 13E:
In Problems 13 and 14 the given two-parameter family is a solution of the indicated differential...Problem 14E:
In Problems 13 and 14 the given two-parameter family is a solution of the indicated differential...Problem 15E:
In Problems 1522 determine whether the given set of functions is linearly independent on the...Problem 16E:
In Problems 1522 determine whether the given set of functions is linearly independent on the...Problem 17E:
In Problems 1522 determine whether the given set of functions is linearly independent on the...Problem 18E:
In Problems 1522 determine whether the given set of functions is linearly independent on the...Problem 19E:
In Problems 1522 determine whether the given set of functions is linearly independent on the...Problem 20E:
In Problems 1522 determine whether the given set of functions is linearly independent on the...Problem 21E:
In Problems 1522 determine whether the given set of functions is linearly independent on the...Problem 22E:
In Problems 1522 determine whether the given set of functions is linearly independent on the...Problem 23E:
In Problems 2330 verify that the given functions form a fundamental set of solutions of the...Problem 24E:
In Problems 2330 verify that the given functions form a fundamental set of solutions of the...Problem 25E:
In Problems 2330 verify that the given functions form a fundamental set of solutions of the...Problem 26E:
In Problems 2330 verify that the given functions form a fundamental set of solutions of the...Problem 27E:
In Problems 2330 verify that the given functions form a fundamental set of solutions of the...Problem 28E:
In Problems 2330 verify that the given functions form a fundamental set of solutions of the...Problem 29E:
In Problems 2330 verify that the given functions form a fundamental set of solutions of the...Problem 30E:
In Problems 2330 verify that the given functions form a fundamental set of solutions of the...Problem 31E:
In Problems 3134 verify that the given two-parameter family of functions is the general solution of...Problem 32E:
In Problems 3134 verify that the given two-parameter family of functions is the general solution of...Problem 33E:
In Problems 3134 verify that the given two-parameter family of functions is the general solution of...Problem 34E:
In Problems 3134 verify that the given two-parameter family of functions is the general solution of...Problem 35E:
(a) Verify that yp1=3e2x and yp2=x2+3xare, respectively, particular solutions of y6y+5y=9e2x and...Problem 36E:
(a) By inspection find a particular solution of y+2y=10. (b) By inspection find a particular...Problem 39E:
(a) Verify that y1 = x3 and y2 = |x|3 are linearly independent solutions of the differential...Browse All Chapters of This Textbook
Chapter 1 - Introduction To Differential EquationsChapter 1.1 - Definitions And TerminologyChapter 1.2 - Initial-value ProblemsChapter 1.3 - Differential Equations As Mathematical ModelsChapter 2 - First-order Differential EquationsChapter 2.1 - Solution Curves Without A SolutionChapter 2.2 - Separable EquationsChapter 2.3 - Linear EquationsChapter 2.4 - Exact EquationsChapter 2.5 - Solutions By Substitutions
Chapter 2.6 - A Numerical MethodChapter 3 - Modeling With First-order Differential EquationsChapter 3.1 - Linear ModelsChapter 3.2 - Nonlinear ModelsChapter 3.3 - Modeling With Systems Of First-order DesChapter 4 - Higher-order Differential EquationsChapter 4.1 - Preliminary Theory-linear EquationsChapter 4.2 - Reduction Of OrderChapter 4.3 - Homogeneous Linear Equations With Constant CoefficientsChapter 4.4 - Undetermined Coefficients-superposition ApproachChapter 4.5 - Undetermined Coefficients-annihilator ApproachChapter 4.6 - Variation Of ParametersChapter 4.7 - Cauchy-euler EquationsChapter 4.8 - Green's FunctionsChapter 4.9 - Solving Systems Of Linear Des By EliminationChapter 4.10 - Nonlinear Differential EquationsChapter 5 - Modeling With Higher-order Differential EquationsChapter 5.1 - Linear Models: Initial-value ProblemsChapter 5.2 - Linear Models: Boundary-value ProblemsChapter 5.3 - Nonlinear ModelsChapter 6 - Series Solutions Of Linear EquationsChapter 6.1 - Review Of Power SeriesChapter 6.2 - Solutions About Ordinary PointsChapter 6.3 - Solutions About Singular PointsChapter 6.4 - Special FunctionsChapter 7 - The Laplace TransformChapter 7.1 - Definition Of The Laplace TransformChapter 7.2 - Inverse Transforms And Transforms Of DerivativesChapter 7.3 - Operational Properties IChapter 7.4 - Operational Properties IiChapter 7.5 - The Dirac Delta FunctionChapter 7.6 - Systems Of Linear Differential EquationsChapter 8 - Systems Of Linear First-order Differential EquationsChapter 8.1 - Preliminary Theory-linear SystemsChapter 8.2 - Homogeneous Linear SystemsChapter 8.3 - Nonhomogeneous Linear SystemsChapter 8.4 - Matrix ExponentialChapter 9 - Numerical Solutions Of Ordinary Differential EquationsChapter 9.1 - Euler Methods And Error AnalysisChapter 9.2 - Runge-kutta MethodsChapter 9.3 - Multistep MethodsChapter 9.4 - Higher-order Equations And SystemsChapter 9.5 - Second-order Boundary-value ProblemsChapter A - Integral-defined FunctionsChapter B - Matrices
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