## Differential Equations

Recommended Books

1. Differential Equations, Dennis G. Zill.
2. Modern Engineering Mathematics, K.A. Stroud.
3. Advanced Engineering Mathematics, Erwin Kreyszig.

Course Description

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

 CLO 1 Recognize various types of differential equations. C1 CLO 2 Apply appropriate differential equation technique to solve Engineering Problem. C3 CLO 3 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 BS-122 CLO1 X CLO2 X CLO3 X

Program Learning Outcomes

PLO1: Engineering Knowledge

PLO2: Problem Analysis

PLO3: Design/Development of Solutions

PLO4: Investigation

PLO5: Modern Tool Usage

PLO6: The Engineer and Society

PLO7: Environment and Sustainability

PLO8: Ethics

PLO9: Individual and Team Work

PLO10: Communication

PLO11: Project Management

PLO12: Lifelong Learning