Solutions to Elementary Differential Equations and Boundary Value Problems 10e
by Boyce and DiPrima
1165 of 1967 listed problems currently have solution PDFs.
Section 1.1: Some Basic Mathematical Models; Direction Fields
Section 1.2: Solutions of Some Differential Equations
Section 1.3: Classification of Differential Equations
Section 2.1: Linear Equations; Method of Integrating Factors
Section 2.2: Separable Equations
Section 2.3: Modeling with First Order Equations
Section 2.4: Differences Between Linear and Nonlinear Equations
Section 2.5: Autonomous Equations and Population Dynamics
Section 2.6: Exact Equations and Integrating Factors
Section 2.7: Numerical Approximations: Euler’s Method
Section 2.8: The Existence and Uniqueness Theorem
Section 2.9: First Order Difference Equations
Miscellaneous Exercises
Section 3.1: Homogeneous Equations with Constant Coefficients
Section 3.2: Solutions of Linear Homogeneous Equations; the Wronskian
Section 3.3: Complex Roots of the Characteristic Equation
Section 3.4: Repeated Roots; Reduction of Order
Section 3.5: Nonhomogeneous Equations; Method of Undetermined Coefficients
Section 3.6: Variation of Parameters
Section 3.7: Mechanical and Electrical Vibrations
Section 3.8: Forced Vibrations
Section 4.1: General Theory of nth Order Linear Equations
Section 4.2: Homogeneous Equations with Constant Coefficients
Section 4.3: The Method of Undetermined Coefficients
Section 4.4: The Method of Variation of Parameters
Section 5.1: Review of Power Series
Section 5.2: Series Solutions Near an Ordinary Point, Part I
Section 5.3: Series Solutions Near an Ordinary Point, Part II
Section 5.4: Euler Equations; Regular Singular Points
Section 5.5: Series Solutions Near a Regular Singular Point, Part I
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Section 5.6: Series Solutions Near a Regular Singular Point, Part II
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Section 5.7: Bessel’s Equation
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Section 6.1: Definition of the Laplace Transform
Section 6.2: Solution of Initial Value Problems
Section 6.3: Step Functions
Section 6.4: Differential Equations with Discontinuous Forcing Functions
Section 6.5: Impulse Functions
Section 6.6: The Convolution Integral
Section 7.1: Introduction
Section 7.2: Review of Matrices
Section 7.3: Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors
Section 7.4: Basic Theory of Systems of First Order Linear Equations
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Section 7.5: Homogeneous Linear Systems with Constant Coefficients
Section 7.6: Complex Eigenvalues
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Section 7.7: Fundamental Matrices
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Section 7.8: Repeated Eigenvalues
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Section 7.9: Nonhomogeneous Linear Systems
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Section 8.1: The Euler or Tangent Line Method
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Section 8.2: Improvements on the Euler Method
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Section 8.3: The Runge–Kutta Method
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Section 8.4: Multistep Methods
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Section 8.5: Systems of First Order Equations
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Section 8.6: More on Errors; Stability
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Section 9.1: The Phase Plane: Linear Systems
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Section 9.2: Autonomous Systems and Stability
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Section 9.3: Locally Linear Systems
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Section 9.4: Competing Species
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Section 9.5: Predator–Prey Equations
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Section 9.6: Liapunov’s Second Method
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Section 9.7: Periodic Solutions and Limit Cycles
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Section 9.8: Chaos and Strange Attractors: The Lorenz Equations
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Section 10.1: Two-Point Boundary Value Problems
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Section 10.2: Fourier Series
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Section 10.3: The Fourier Convergence Theorem
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Section 10.4: Even and Odd Functions
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Section 10.5: Separation of Variables; Heat Conduction in a Rod
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Section 10.6: Other Heat Conduction Problems
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Section 10.7: The Wave Equation: Vibrations of an Elastic String
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Section 10.8: Laplace’s Equation
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Section 11.1: The Occurrence of Two-Point Boundary Value Problems
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Section 11.2: Sturm–Liouville Boundary Value Problems
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Section 11.3: Nonhomogeneous Boundary Value Problems
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Section 11.4: Singular Sturm–Liouville Problems
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Section 11.5: Further Remarks on the Method of Separation of Variables: A Bessel Series Expansion
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Section 11.6: Series of Orthogonal Functions: Mean Convergence
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