1) Students will be able to understand the various analytical methods for solving first-order partial differential equations.
2) Students will be able to understand the classification of first order partial differential equations.
3) Students can grasp the linear and nonlinear partial differential equations.
Curriculum
- 5 Sections
- 13 Lessons
- Lifetime
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- Unit I: First Order Partial Differential Equations.Curves and Surfaces, Genesis of first order PDE, Classification of first order PDE, Classification of integrals, The Cauchy problem, Linear Equation of first order, Lagrange’s equation, Pfaffian differential equations.2
- Unit II: Compatible system of first order Partial Differential Equations.Definition, Necessary and sufficient condition for integrability, Charpit’s method, Some standard types, Jacobi’s method, The Cauchy problem2
- Unit III: Quasi-Linear Partial Differential Equations.Semi linear equations, Quasi-linear equations, first order quasi-linear PDE, Initial value problem for quasi-linear equation, Non linear first order PDE, Monge cone, Analytic expression for Monge’s cone, Characteristics strip, Initial strip.1
- Tutorials5
- Tutorial Solutions5
