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Module 3

Module-3: Ordinary Differential Equations (ODE’s) of first order

Linear and Bernoulli’s differential equations. Exact and reducible to exact differential equations.
Applications of ODE’s-Orthogonal trajectories, Newton’s law of cooling.
Nonlinear 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 ODE’s: L-R circuits. Solvable for x and y.