Differential equations of the first order and first degree. Solutions using the Lagrange system of equations. Linear, semi-linear and quasi linear equations of first order.
Surface and curves in the three dimensions. Simultaneous differential equations of the first order. Methods of solution of dx/P = dy/Q = dz/R, Orthogonal trajectories of systems of curves on a surface. Pfaffian differential equations, Linear, semi-linear equations of the first order. Integral surfaces passing through a given curve. Use of the methods of Cauchy, Charpit and Jacobi in solving non-linear partial differential equations of the first order.
Surface and curves in the three dimensions. Simultaneous differential equations of the first order. Methods of solution of dx/P = dy/Q = dz/R, Orthogonal trajectories of systems of curves on a surface. Pfaffian differential equations, Linear, semi-linear equations of the first order. Integral surfaces passing through a given curve. Use of the methods of Cauchy, Charpit and Jacobi in solving non-linear partial differential equations of the first order.
- editing-lecturer: Victor Tomno