"SYLLABUS- DIFFERENTIAL EQUATIONS -
Unit-1: Formation of a differential equation (D.E.), Degree, order and
solution of a D.E., Equations of first order and first degree: Separation of
variables method, Solution of homogeneous equations, linear equations
and exact equations, Linear differential equations with constant
coefficients, Homogeneous linear differential equations.
Unit-2: Differential equations of the first order but not of the first
degree, Clairaut's equations and singular solutions, Orthogonal
trajectories, Simultaneous linear differential equations with constant
coefficients, Linear differential equations of the second order (including
the method of variation of parameters).
Unit-3: Series solutions of second order differential equations, Legendre
and Bessel functions (Pn and Jn only) and their properties.
Order, degree and formation of partial differential equations, Partial
differential equations of the first order, Lagrange's equations, Charpit's
general method, Linear partial differential equations with constant coefficients.
Unit-4: (i) Partial differential equations of the second order, Monge's method."


English | 2020 | ASIN : B08F45PDZ2 | 889 pages | PDF | 14.87 MB


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