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Study BSc - Differential Equation

Unit I: Ordinary Differential Equations: Equations of First Order and of Degree Higher than one – Solvable for p, x, y – Clairaut’s Equation – Simultaneous Differential Equations with constant coefficients of the form i) f1(D)x + g1(D)y = ( ) 1 f t ii) f2(D)x + g2(D)y = ( ) 2 f t where f1 , g1 , f2 and g2 are rational functions dt d D = with constant coefficients 1 f and 2 f explicit functions of t. Unit II: Finding the solution of Second and Higher Order with constant coefficients with Right Hand Side is of the form Veax where V is a function of x – Euler’s Homogeneous Linear Differential Equations – Method of variation of parameters. Anx.18 D - B.Sc Maths (SDE) 2007-08 Page 6 of 26 Unit III: Partial Differential Equations: Formation of equations by eliminating arbitrary constants and arbitary functions – Solutions of P.D Equations – Solutions of Partial Differential Equations by direct integration – Methods to solve the first order P.D. Equations in the standard forms - Lagrange’s Linear Equations. Unit IV: Laplace Transforms: Definition – Laplace Transforms of standard functions – Linearity property – Firsting Shifting Theorem – Transform of tf(t), ( ) t f t , f1(t), f11(t). Unit V: Inverse Laplace Transforms – Applications to solutions of First Order and Second Order Differential Equations with constant coefficients.

BSc Subjects

 Applied Electronics Atomic Physics and Nuclear Physics Classical Algebra and Calculus CLIENT SERVER COMPUTING Climatology and Oceanography Complex Analysis DATA COMMUNICATION AND NETWORKS DATA STRUCTURES AND C PROGRAMMING Differential Equation Lap lace Transforms DIGITAL FUNDAMENTALS AND ARCHITECTURE Economic geography Geography of India Geomorphology Heat Thermodynamics Mechanics Properties of Matter and Sound Human geography INTERNET and JAVA PROGRAMMING MATHEMATICAL FOUNDATION FOR COMPUTER Mathematical Physics Mechanics Modern Algebra OBJECT ORIENTED PROGRAMMING WITH C++ Optics Electricity and Magnetism Principles of cartography Quantum Mechanics and Relativity Real Analysis SOFTWARE ENGINEERING Solid State Physics Statistics for geographers Statistics for Mathematics SYSTEM SOFTWARE AND OPERATING SYSTEM Trigonometry Vector Calculus and Analytical Geometry VISUAL PROGRAMMING WEB TECHNOLOGY Business Economics Business Management Business Organisation and Office Management Business Statistics Commercial Law and Company Law Company law and secretarial practice I Company law and Secretarial practice II Corporate Accounting Cost and Management Accounting Executive Communication Financial Accounting Industrial law Life Office Management Managerial Economics Mathematics for Business Principles of Accountancy Principles of Life Insurance Principles of Management Principles of Marketing Priniciples of Reinsurance Statistics

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