<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The article uses ordinary differential to solve inhomogeneous equations by the constructivist learning concept. We use the equivalent equations to study the n-th order non-homogeneous linear ordinary differential equations with constant coefficients and get the method of solving this equation. Then we use the Filippov transformation and comparison theorem to prove the boundedness of all system trajectories. Numerical results show that the calculation formula is effective for solving stiff ordinary differential equations.</p>
</abstract>

The article uses ordinary differential to solve inhomogeneous equations by the constructivist learning concept. We use the equivalent equations to study the n-th order non-homogeneous linear ordinary differential equations with constant coefficients and get the method of solving this equation. Then we use the Filippov transformation and comparison theorem to prove the boundedness of all system trajectories. Numerical results show that the calculation formula is effective for solving stiff ordinary differential equations.

Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

The article uses ordinary differential to solve inhomogeneous equations by the constructivist learning concept. We use the equivalent equations to study the...

Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching

Published Online: Jul 15, 2022

Page range: 585 - 592

Received: Feb 05, 2022

Accepted: Mar 31, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0043

Keywords
Ordinary differential equations, Constructivism, College mathematics teaching, Riccati method

© 2023 Chunguang Liu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

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Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching

Published Online: Jul 15, 2022

Page range: 585 - 592

Received: Feb 05, 2022

Accepted: Mar 31, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0043

KeywordsOrdinary differential equations, Constructivism, College mathematics teaching, Riccati method

© 2023 Chunguang Liu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Figure 3

Keywords
Ordinary differential equations, Constructivism, College mathematics teaching, Riccati method