- Differential Equations, Dennis G. Zill.
- Modern Engineering Mathematics, K.A. Stroud.
- Advanced Engineering Mathematics, Erwin Kreyszig.
Introduction to Differentials, Partial Differentiation, Differential Equations and Initial Value Problems, First Order Differential Equations: Separable Differential Equations and related initial value problems, Linear Equations: Homogeneous and Nonhomogeneous differential equations, Method of Variation of parameters and related initial value problems, Exactness of an equation: Criterion for an Exact Differential Equation, Non Exact Equation reduced to Exact and related initial value problems, Solution by Substitutions, Bernoulli Differential Equations, and related Initial value problems, Higher Order Differential Equations: Linear Equations, Reduction of order, Homogeneous equations with constant coefficients, Method of Undetermined Coefficients – Superposition Approach, Method of Undetermined Coefficients – Annihilator Approach, Variation of Parameters, Cauchy-Euler Equations, Series Solution of Differential Equations, Laplace Transforms and Inverse Laplace Transform, Solving Differential Equation (Boundary value Problems) using Laplace Transform, Applications and Benefits of using Laplace to solve Differential equations.
Course Learning Outcome
Recognize various types of differential equations. C1
Apply appropriate differential equation technique to solve Engineering Problem. C3
Apply Laplace and Inverse Laplace Transform to solve a differential equation. C3
CLO -PLO Mapping
|Course Code||CLOs/ PLOs||PLO1||PLO2||PLO3||PLO4||PLO5||PLO6||PLO7||PLO8||PLO9||PLO 10||PLO 11||PLO 12|
Program Learning Outcomes
PLO1: Engineering Knowledge
PLO2: Problem Analysis
PLO3: Design/Development of Solutions
PLO5: Modern Tool Usage
PLO6: The Engineer and Society
PLO7: Environment and Sustainability
PLO9: Individual and Team Work
PLO11: Project Management
PLO12: Lifelong Learning