General
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Unit 4. ORDNINARY DIFFERENTIAL EQUATIONS
Key unit competence
Use ordinary differential equations of first and second order to model and solve related problems in Physics, Economics, Chemistry, Biology, Demography, etc.
Introductory activity
4.1 Definition and classification of differential equations
4.2 Differential equations of first order with separable variables
4.3. Linear differential equations of the first order
4.4 Applications of ordinary differential equations
4.4.1 Differential equations and the population growth
4.4.2 Differential equations and Crime investigation
4.4.3 Differential equations and the quantity of a drug in the body
exponentially.
4.4.4 Differential equations in economics and finance
4.4.5 Differential equations in electricity (Series Circuits)
4.5. Introduction to second order linear homogeneous ordinary differential equations
4.6 Solving linear homogeneous differential equations
4.6.1. Linear independence and superposition principle
4.6.Characteristic equation of a second order differential equation
4.6.3. Solving DE whose Characteristic equation has two distinct real roots
4.6.4. Solving DE whose Characteristic equation has a real double root repeated roots
4.6.5. Solving DE whose characteristic equation has complex roots
4.7. Applications of second order linear homogeneous differential equation
End unit assessment
