Mathematics-1 for Mechanical Engineering stream Module 3

2022 Scheme  M1 for Mechanical Engineering stream BMATM101 Module 3 Notes (Download👇)

BMATM101 Module 3

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Ordinary Differential Equations of First Order

Module 3

Introduction to first-order ordinary differential equations pertaining to the applications for Mechanical engineering.

Linear and Bernoulli’s differential equations. Exact and reducible to exact differential equations Integrating factors. 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 ODEs: L-R circuits. Solvable for x and y.

Applications: Rate of Growth or Decay, Conduction of heat.

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