Posted Date: 29 Jan 2020      Posted By:: Shouvik Maj    Member Level: Silver  Points: 3 (₹ 2)

# 2019 B.E Mechanical Engineering B.E Jadavpur University Mechanical Engineering (2nd Year First Semester) -2019 Question paper

 Course: B.E Mechanical Engineering University/board: Jadavpur University

Are you looking for previous year question papers of 2nd year in Mechanical Engineering stream of Mathematics? Here we have provided the material of your need. Just Download and practice for your upcomming exam.

{Please scroll below to get the PDF file of the Question paper given as attachment}
B.E Mechanical Engineering 2nd year, 1st Semester
Engineering Mechanics

Total Time - 3 Hours
Full Marks - 100

Syllabus

Fourier series and Integral Transforms: ( Marks:50)
Fourier series; Periodic functions; Trigonometric series of sine and cosines; Euler's formula; Even and odd
functions; Dirichlet's conditions; Half range sine and cosine series; Fourier transform, definitions and
properties; Inverse Fourier transform; Convolution; Laplace transform, properties; Inverse Laplace transform;
Convolution; Z transform and properties.
Ordinary Differential Equation (ODE) and Series Solution : ( Marks:30)
First order exact differential equation and first order linear differential equation; Second and higher order linear
differential equations with constant coefficients; Euler and Cauchy equation; Method of variation of parameters;
Ordinary point and regular singularity of a second order linear differential equation; Series solutions; Solution
of legendre and Bessel's equations; Generating functions; Recurrence relations and their Orthogonal properties
Partial Differential Equation (PDE): ( Marks:20)
First order PDE; Lagrange method; Second order PDE with constant coefficients and their classifications to
Elliptic, Parabolic and Hyperbolic type. Solution of PDE by method of separation of variables; Solution of onedimensional wave and diffusion equation; Laplace equation of two dimensions.

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