BSc. Objective: Differential Equations & integral Transforms by Manoj Garg
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Overview: SYLLABUS- B.Sc. OBJ. DIFFERENTIAL EQUATIONS & INTEGRAL TRANSFORMS,
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.
Genre: Non-Fiction > Educational
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