DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE PROBLEMS 2ND EDITION POLKING PDF

Pearson Modern Classics are acclaimed titles at a value price. Combining traditional differential equation material with a modern qualitative and systems approach, this new edition continues to deliver flexibility of use and extensive problem sets. The Derivative. Solutions to Separable Equations. Models of Motion. Linear Equations.

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The Derivative. Solutions to Separable Equations. Models of Motion. Linear Equations. Mixing Problems. Exact Differential Equations.

Existence and Uniqueness of Solutions. Dependence of Solutions on Initial Conditions. Autonomous Equations and Stability. Project 2. Models and the Real World. Personal Finance. Electrical Circuits. Project 3. Second-Order Equations and Systems. Linear, Homogeneous Equations with Constant Coefficients. Harmonic Motion. Inhomogeneous Equations-- the Method of Undetermined Coefficients.

Variation of Parameters. Forced Harmonic Motion. Project 4. Basic Properties of the Laplace Transform Discontinuous Forcing Terms. The Delta Function. Project 5. Runge-Kutta Methods.

Numerical Error Comparisons. Practical Use of Solvers. A Cautionary Tale. Project 6. Chapter 7: Matrix Algebra Vectors and Matrices. Solving Systems of Equations. Homogeneous and Inhomogeneous Systems. Bases of a subspace. Square Matrices. Geometric Interpretation of Solutions. Qualitative Analysis. Linear Systems. Properties of Linear Systems. Project 8. Planar Systems. Phase Plane Portraits. The Trace-Determinant Plane. Higher Dimensional Systems.

The Exponential of a Matrix. Qualitative Analysis of Linear Systems. Higher-Order Linear Equations. Inhomogeneous Linear Systems. Project 9. Long-Term Behavior of Solutions. Invariant Sets and the Use of Nullclines. Conserved Quantities.

Nonlinear Mechanics. The Method of Lyapunov. Predator-Prey Systems. Project Series Solutions Near Ordinary Points. Convergence of Fourier Series. Fourier Cosine and Sine Series. The Complex Form of a Fourier Series. Separation of Variables for the Heat Equation. The Wave Equation.

Sturm Liouville Problems. Orthogonality and Generalized Fourier Series. Temperature in a Ball-Legendre Polynomials. Domains with Circular Symmetry-Bessel Functions. Pearson Modern Classics are acclaimed titles at a value price. Please visit www. Combining traditional differential equation material with a modern qualitative and systems approach, this new edition continues to deliver flexibility of use and extensive problem sets.

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