Week 07-08: Modeling with first-order ODEs: Linear models, Nonlinear models, Higher order differential equations:
Modeling with first-order ODEs: Linear models, Nonlinear models, Higher order differential equations:Initial value and boundary value problems, Homogeneous and Non homogeneous linear DEs and their solutions,Linear dependence and independence, Wronskian
Course Material
- Week 01-02 : Introduction to differential equations: preliminaries and classification of differential equations,Verification of solution, existence of unique solutions
- Week 03-04: Introduction to initial value problems Differential equations as mathematical models
- Week 05-06: Separable equations, Linear equations , integrating factors, Exact Equations, Solution of some nonlinear first order DEs by substitution, Homogeneous Equations, Bernoulli equation
- Week 07-08: Modeling with first-order ODEs: Linear models, Nonlinear models, Higher order differential equations:
- Week 09- 10: Reduction of order, homogeneous equations with constant coefficients,Non homogeneous equations
- Week 11-12 Differential Equations with Variable Coefficients, Sturm-Liouville (S-L) System and Boundary-Value Problems
- Week 13-14: Series Solution and its Limitations, The Frobenius method.
- Chapters 7
- Department Physics(SCB)
- Teacher
Ulfat Hussain
