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- https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/01%3A_First_Order_ODEs/1.02%3A_Classification_of_Differential_EquationsThis page discusses the classification of differential equations as ordinary or partial based on independent variables, emphasizing the importance of order and linearity. It covers concepts of homogen...This page discusses the classification of differential equations as ordinary or partial based on independent variables, emphasizing the importance of order and linearity. It covers concepts of homogeneous vs. nonhomogeneous equations, constant vs. variable coefficients, and introduces autonomous equations. Additionally, it mentions a 7-minute video providing context for understanding these concepts and solutions.
- https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/03%3A_Higher_order_linear_ODEs/3.06%3A_Reduction_of_Order/3.6E%3A_Exercises_for_Section_3.6This page consists of exercises aimed at finding general solutions to differential equations, using known solutions alongside specified equations. It includes examples with exponential and polynomial ...This page consists of exercises aimed at finding general solutions to differential equations, using known solutions alongside specified equations. It includes examples with exponential and polynomial combinations while deriving fundamental solution sets.
- https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/01%3A_First_Order_ODEs/1.02%3A_Classification_of_Differential_Equations/1.2E%3A_Exercises_for_Section_1.2This page presents exercises centered on classifying and solving ordinary and partial differential equations. It emphasizes the detailed classification of equations based on order, linearity, and homo...This page presents exercises centered on classifying and solving ordinary and partial differential equations. It emphasizes the detailed classification of equations based on order, linearity, and homogeneity. Tasks include identifying equation types, providing examples of ODEs, discussing linearity conditions, and applying vector calculus concepts such as divergence and curl.
- https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/01%3A_First_Order_ODEsThis page presents a curriculum on differential equations, addressing classification, integrals, slope fields, and both linear and nonlinear equations. It highlights solution existence and uniqueness,...This page presents a curriculum on differential equations, addressing classification, integrals, slope fields, and both linear and nonlinear equations. It highlights solution existence and uniqueness, along with first-order linear equations methods. Topics include separable and autonomous equations, numerical methods like Euler’s, and transforming nonlinear equations for easier manipulation. Each section is supported by exercises to enhance understanding.
- https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/04%3A_Power_series_methods/4.02%3A_Series_Solutions_of_Linear_Second_Order_ODEsThis section defines ordinary and singular points and explains how to find a power series solution around an ordinary point for differential equations.
