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### Differential Equations I MATB44H3F

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Differential Equation eBooks . We hope mathematician or person who’s interested in mathematics like these books. Differential Equations I MATB44H3F . This is an other great mathematics book cover the following topics of Differential Equations.

• 1. Introduction
Preliminaries, Sample Application of Differential Equations

• 2. First Order Ordinary Differential Equations
Separable Equations, Exact Differential Equations, Integrating Factors, Linear First Order Equations, Substitutions (Bernoulli Equation, Homogeneous Equations, Substitution to Reduce Second Order Equations to First), Order

• 3. Applications and Examples of First Order ode’s
Orthogonal Trajectories, Exponential Growth and Decay, Population Growth, Predator-Prey Models, Newton’s Law of Cooling, Water Tanks, Motion of Objects Falling Under Gravity with Air Resistance, Escape Velocity, Planetary Motion, Particle Moving on a Curve

• 4. Linear Differential Equations
Homogeneous Linear Equations, Linear Differential Equations with Constant Coefficients, Nonhomogeneous Linear Equations

• 5. Second Order Linear Equations
Reduction of Order, Undetermined Coefficients, Shortcuts for Undetermined Coefficients, Variation of Parameters

• 6. Applications of Second Order Differential Equations
Motion of Object Hanging from a Spring, Electrical Circuits

• 7. Higher Order Linear Differential Equations
Undetermined Coefficients, Variation of Parameters, Substitutions: Euler’s Equation

• 8. Power Series Solutions to Linear Differential Equations
Introduction, Background Knowledge Concerning Power Series, Analytic Equations, Power Series Solutions: Levels of Success, Level 1: Finding a finite number of coefficients, Level 2: Finding the recursion relation, Solutions Near a Singular Point, Functions Defined via Differential Equations (Chebyshev Equation, Legendre Equation, Airy Equation, Laguerre’s Equation, Bessel Equation)

• 9. Linear Systems
Preliminaries, Computing e^T, The 2 × 2 Case in Detail, The Non-Homogeneous Case, Phase Portraits, Real Distinct Eigenvalues, Complex Eigenvalues, Repeated Real Roots

• 10. Existence and Uniqueness Theorems
Picard’s Method, Existence and Uniqueness Theorem for First Order ODE’s, Existence and Uniqueness Theorem for Linear First Order ODE’s, Existence and Uniqueness Theorem for Linear Systems

• 11. Numerical Approximations
Euler’s Method, Error Bounds, Improved Euler’s Method, Runge-Kutta Methods

• ##### Math Books of DIFFERENTIAL EQUATIONS

Differential Equations I MATB44H3F
• Free
• English
• PDF
• Page 174

• Problem Solving by George Polya
• Free
• English
• PDF
• Page 433
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##### Worksheets (Solved)

###### Integration     