No Chalk Academy

Differential Equations

Good Books for reference:

Simmons, G.F., Differential Equations (With Applications and Historical Notes), Tata McGraw Hill (2009).
Jain, R.K. and Iyenger, S.R.K , Advanced Engineering Mathematics, Narosa Publishing House(2011), 11th ed.
Kreyszig Erwin, Advanced Engineering Mathematics, John Wiley (2006), 8th ed.

Syllabus for Differential equations

Ordinary differential equations of the first order of the form y'=f(x,y)

Bernoulli’s equation

Exact differential equations

Integrating factor

Orthogonal trajectories

Homogeneous differential equations

Variable separable equations

Linear differential equations of second order with constant coefficients

Method of variation of parameters

Cauchy-Euler equation

Video Collection - I

Lecture 1

Lecture 2

Lecture 3

Lecture 4

Lecture 5

Lecture 6

Lecture 7

Lecture 8

Lecture 9

Lecture 10

Orthogonal trajectories

Video Collection - II

Lecture 1: ODE (what is an ODE?)

Lecture 2: ODE (A basic model involving an ODE: An object falling in atmosphere)

Lecture 3: ODE (A basic model involving an ODE: mice and cats in a field)

Lecture 4: ODE (Direction Field of a first order ODE)

Lecture 5: ODE (Observations from Direction Fields)

Lecture 6: ODE (Why classification of differential equations is required?)

Lecture 7: ODE (Classification of differential equations)

Lecture 8: ODE (Explicit solutions of differential equations)

Lecture 9: ODE (Implicit solutions of ODEs)

Lecture 10: ODE (General, particular and singular solutions of ODEs)

Lecture 11: ODE (Classification of solutions of differential equations is undesirable.)

Lecture 12: ODE (Variable separable differential equations)

Lecture 13: ODE (Equations reducible to variable separable form.)

Lecture 14: ODE (Homogeneous differential equations)

ODE_lecture 15_Orthogonal trajectories

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Summary and Practice questions

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