Mathematics Differential Equations
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First Order Differential Equations Basic Definitions First Order Initial Value Problems Linear First Order Differential Equations Separable First Order Differential Equations First Order Exact Differential Equations Applications of First Order Differential Equations Basic Definitions for Second Order Differential Equations Distinct, Real Roots of the Characteristic Equation Complex Conjugate Roots of the Characteristic Equation Repeated, Real Roots of the Characteristic Equation Linear, Constant Coefficient, Homogeneous, Second Order Differential Equations Chapter Introduction (video) Unrestricted Growth; Doubling Time Decay; Half Life Newton's Law of Cooling Free Fall - No Air Resistance Free Fall - Air Resistance; Terminal Velocity Linear, Constant Coefficient, Non-Homogeneous, Second Order Differential Equations Independent Solutions; the Wronskian Reduction in Order Given One Solution Non-Homogeneous Equations; Undetermined Coefficients Non-Homogeneous Equations; Variation of Parameters Linear, Constant Coefficient, Homogeneous Differential Equations of Order Three & Four Real Roots - Third Order, Linear, Constant Coefficients Two Complex Roots and One Real Root - Third Order Real Roots - Fourth Order, Linear, Constant Coefficients Complex Roots - Fourth Order, Linear, Constant Coefficients Applications of Second Order, Linear Differential Equations Simple Harmonic Motion - Undamped Simple Harmonic Motion - Damped Force Oscillations - Undamped; Resonance Force Oscillations - Damped Power Series Solutions of Second Order Differential Equations Review of Power Series Power Series Solutions Near an Ordinary Point Euler Differential Equations Power Series Solutions Near a Regular Singular Point LaPlace Transform Solutions of Initial Value Problems Definition of the LaPlace Transform LaPlace Transform Solution of Second Order Equations LaPlace Transform Solution of Higher Order Equations Price: $109.95