22MATS11 | BMATS101 | MODULE 3 MATHEMATICS-I VTU NOTES
MODULE 3 MATHEMATICS-I VTU NOTES 22MATS11 | BMATS101 | VTU Notes For Engineering Students by vtuguide.in
Introduction to first-order ordinary differential equations pertaining to the applications for Computer Science & Engineering. Linear and Bernoulli’s differential equations. Exact and reducible to exact differential equations - Integrating factors on 1 N ( ∂M ∂y − ∂N ∂x) and 1 M ( ∂N ∂x − ∂M ∂y). Orthogonal trajectories, L-R & C-R circuits. Problems.
Non-linear differential equations: Introduction to general and singular solutions, Solvable for p only, Clairaut’s equations,reducible to Clairaut’s equations. Problems.
Self-Study: Applications of ODEs, Solvable for x and y. Applications of ordinary differential equations: Rate of Growth or Decay, Conduction of heat.