Unit 1
Series solution of differential equations-Power Series method, Bessel and Legendre equations
Bessel functions of First and Second kind. Legendre function. Generating function. Recurrence
Partial Differential Equations: Origin of first order Partial Differential Equations, Linear Equation offirst order, Integral surfaces passing through a given curve, surfaces orthogonal to a given system of surfaces.
Unit II
Inverse Laplace transforms- Linearity property, Shifting properties, Change of Scale Property. Inverse Laplace transforms of derivatives and integrals, Convolution theorem.
Applications of Laplace Transforms - Solution of differential equations with constant coefficients, Solution of differential equations with variable coefficients, Solution of simultaneous differential equations.
Laplace Transformation- Linearity of the Laplace transformation. Existence theorem for Laplace ransformations, Shifting Theorems, Laplace transforms of derivatives and integrals, Multiplication of t^n, Division by t.
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Important Questions list.
Important Formulae (Chapter Wise).
University Rules
Paper III: Dynamics
Max. Marks : 30
Time : 3 Hours
Note:
1. The syllabus has been split into two Units: Unit-I and Unit-II. Four questions will be set from each Unit.
2. A student will be asked to attempt five questions selecting at least two questions from eachUnit. Each question will carry 6 marks.
3. The teaching time shall be five periods (45 minutes each) per paper per week including tutorial.
4. If internal assessment is to be conducted in the form of written examinations, then there will be only one written examination in a Semester
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