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Math 2652: Introduction to Differential Equations

Author: John J Weber III, PhD

Contact: jweber13 at gsu.edu

 

NOTE: Each of the following links open in a new window.

Unit 01: Introduction (Chapters 01 and 03 [missing application notes])

• http://ode.jjw3.com/math2652/CPT_01_Modeling.html

• http://ode.jjw3.com/math2652/CPT_02_ODEs.html

• http://ode.jjw3.com/math2652/CPT_03_Direction_Fields.html

• http://ode.jjw3.com/math2652/PRE_04_Numerical_Methods.html

• http://ode.jjw3.com/math2652/CPT_04_Numerical_Solutions.html

Unit 02: First-Order Differential Equations (Chapter 02)

• http://ode.jjw3.com/math2652/PRE_05_Separation_of_Variables.html

• http://ode.jjw3.com/math2652/CPT_05_Separation_Of_Variables.html

• http://ode.jjw3.com/math2652/CPT_06a_Linear_Equations.html

• http://ode.jjw3.com/math2652/CPT_06b_Linear_Equations_Derivation.html

• http://ode.jjw3.com/math2652/CPT_06c_Linear_Equations.html

• http://ode.jjw3.com/math2652/CPT_07a_Exact_Equations_Prelim.html

• http://ode.jjw3.com/math2652/CPT_07b_Exact_Equations_Defs.html

• http://ode.jjw3.com/math2652/CPT_07c_Exact_Equations_Derivation.html

• http://ode.jjw3.com/math2652/CPT_07d_Exact_Equations.html

• http://ode.jjw3.com/math2652/CPT_08a_Integrating_Factors_Def.html

• http://ode.jjw3.com/math2652/CPT_08b_Integrating_Factors_Derivation.html

• http://ode.jjw3.com/math2652/CPT_08c_Integrating_Factors_Method.html

• http://ode.jjw3.com/math2652/CPT_09a_First_Order_Homogeneous.html

• http://ode.jjw3.com/math2652/CPT_09b_Substitution.html

• http://ode.jjw3.com/math2652/CPT_09c_Bernoulli.html

• http://ode.jjw3.com/math2652/CPT_09d_Linear_Coeffs.html

Unit 03: Higher-Order Differential Equations (Chapters 04 and 06)

• http://ode.jjw3.com/math2652/PRE_10_Homogeneous_Equations.html

• http://ode.jjw3.com/math2652/CPT_10a_Linear_Independence.html

• http://ode.jjw3.com/math2652/ACT_10b_Homogeneous_Equations_Derivation.html

• http://ode.jjw3.com/math2652/CPT_10c_Characteristic_Equation.html

• http://ode.jjw3.com/math2652/CPT_10d_Constant_Coefficient_Method.html

• http://ode.jjw3.com/math2652/CPT_10e_IVPs.html

• http://ode.jjw3.com/math2652/PRE_11_Complex_Solutions.html

• http://ode.jjw3.com/math2652/ACT_11a_Complex_Numbers.html

• http://ode.jjw3.com/math2652/CPT_11b_Complex_Solutions.html

• http://ode.jjw3.com/math2652/CPT_11c_Constant_Coefficient_Method.html

• http://ode.jjw3.com/math2652/CPT_11d_Solving_IVPs.html

• http://ode.jjw3.com/math2652/CPT_12a_Method_Undetermined_Coefficients.html

• http://ode.jjw3.com/math2652/CPT_12b_Method_Undetermined_Coefficients_IVPs.html

• http://ode.jjw3.com/math2652/CPT_13a_Variation_Of_Parameters.html

• http://ode.jjw3.com/math2652/CPT_13b_Variation_Of_Parameters_Derivation.html

• http://ode.jjw3.com/math2652/CPT_13c_Variation_Of_Parameters.html

• http://ode.jjw3.com/math2652/CPT_13d_Variation_Of_Parameters_Third_Order.html

• http://ode.jjw3.com/math2652/CPT_14a_Variable_Coefficient_Equations.html

• http://ode.jjw3.com/math2652/ACT_14b_Cauchy_Euler_Equations_Derivation.html

• http://ode.jjw3.com/math2652/CPT_14c_Cauchy_Euler_Method.html

• http://ode.jjw3.com/math2652/CPT_14d_Higher_Order_Cauchy_Euler.html

• http://ode.jjw3.com/math2652/CPT_14e_Cauchy_Euler_IVPs.html

• http://ode.jjw3.com/math2652/CPT_14f_Reduction_of_Order.html

Unit 04: Introduction to Systems and Phase Plane Analysis (Sections 05-02 and 05-04; Chapter 09)

• http://ode.jjw3.com/math2652/CPT_15a_Linear_Differential_Operators.html

• http://ode.jjw3.com/math2652/CPT_15b_Linear_Differential_Operators_Properties.html

• http://ode.jjw3.com/math2652/CPT_15c_Annihilator_Method.html

• http://ode.jjw3.com/math2652/CPT_15d_Systems_Linear_Equations.html

• http://ode.jjw3.com/math2652/PRE_16_Homogeneous_Linear_Systems.html

• http://ode.jjw3.com/math2652/CPT_16a_Homogeneous_Linear_Systems_Distinct_Real.html

• http://ode.jjw3.com/math2652/CPT_16b_Homogeneous_Linear_Systems_Complex.html

• http://ode.jjw3.com/math2652/CPT_16c_Homogeneous_Linear_Systems_Repeated_Real.html

• http://ode.jjw3.com/math2652/CPT_17_Phase_Planes.html

• http://ode.jjw3.com/math2652/CPT_18_Nonhomogeneous_Linear_Systems.html

• http://ode.jjw3.com/math2652/APP_18_Nonhomogeneous_Linear_Systems.html

Unit 05: Laplace Transforms (Chapter 07)

• http://ode.jjw3.com/math2652/PRE_19_Laplace_Transforms.html

• http://ode.jjw3.com/math2652/CPT_19a_Laplace_Transform_Definition.html

• http://ode.jjw3.com/math2652/CPT_19b_Laplace_Transform_Constants.html

• http://ode.jjw3.com/math2652/CPT_19c_Laplace_Transform_Exponentials.html

• http://ode.jjw3.com/math2652/CPT_19d_Laplace_Transform_Polynomials.html

• http://ode.jjw3.com/math2652/CPT_19e_Laplace_Transform_Sine_Cosine.html

• http://ode.jjw3.com/math2652/CPT_19f_Laplace_Transform_Misc.html

• http://ode.jjw3.com/math2652/CPT_19g_Laplace_Transform_Properties.html

• http://ode.jjw3.com/math2652/CPT_19h_Laplace_Transform_Inverse.html

• http://ode.jjw3.com/math2652/TABLE_20_Table_Laplace_Transforms.pdf

• http://ode.jjw3.com/math2652/CPT_20a_Laplace_Transform_Properties.html

• http://ode.jjw3.com/math2652/CPT_20b_Laplace_Transform_Derivatives.html

• http://ode.jjw3.com/math2652/PRE_21_Inverse_Laplace_Transforms.html

• http://ode.jjw3.com/math2652/CPT_21_Inverse_Laplace_Transforms.html

• http://ode.jjw3.com/math2652/CPT_22_Solving_IVPs.html

• http://ode.jjw3.com/math2652/PRE_23_Transforms_Discontinuous_Periodic.html

• http://ode.jjw3.com/math2652/CPT_23a_Transforms_Step_Function.html

• http://ode.jjw3.com/math2652/CPT_23b_Transforms_Window_Function.html

• http://ode.jjw3.com/math2652/CPT_23c_Transforms_Periodic_Function.html

• http://ode.jjw3.com/math2652/CPT_23d_Transforms_Gamma_Function.html

• http://ode.jjw3.com/math2652/CPT_23e_Transforms_Solving_IVPs.html

• http://ode.jjw3.com/math2652/PRE_24_Convolution.html

• http://ode.jjw3.com/math2652/CPT_24_Convolution.html

Unit 06: Series Solutions of Differential Equations (Chapter 08)

• http://ode.jjw3.com/math2652/PRE_25_Power_Series_ODEs.html

• Series Solutions of DEs notes are missing.

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Created: Thursday, 11 May 2023 14:54 EDT Last Modified: Monday, 22 May 2023 16:12 EDT