Hello! Let’s have a look at an area of Mathematics that can be rightly described as the language of the Sciences…

Differential Equations can describe how populations change, how heat moves, how springs vibrate, how radioactive material decays and much more. They are a very natural way to describe many things in the universe.

**Course Code: MM5CRT06**** **

**Course Credit: 4**

**Semester: V**

**Course Type: Core **

**Department: MATHEMATICS**

**Introduction:**

A **differential equation** is an equation that relates one or more functions and their derivatives. In applications in the real world, differential equations define a relationship between physical quantities.

Such relations are common, therefore differential equations play a prominent role in many disciplines including engineering, physics, economics and biology.

Hence, Differential Equations can be regarded as an essential course not only for a degree in Mathematics, but also for any field that studies how things work!

**Course Objectives:**

- To identify and solve first order differential equations including separable, homogeneous, exact, and linear.
- To solve second order and higher order linear differential equations.
- To solve differential equations using variation of parameters.
- To find series solutions of first and second order differential equations.
- To solve first order differential equations in 3 variables ( of the form )
- To understand the origin of first order linear partial differential equations and solve some special types using Lagrange’s method.

**Text Books:**

- G.F. Simmons, S.G. Krantz – Differential Equations, (Tata McGraw Hill-New Delhi). (Walter Rudin Student Series)
- Ian Sneddon – Elements of Partial Differential Equation (Tata Mc Graw Hill)

**References **

- Shepley L Ross – Differential Equations, ( Wiley Student Edition)
- George F Simmons – Differential Equations with Applications and Historical Notes ( Tata McGraw Hill)

- Erwin Kreyszig-Advanced Engineering Mathematics, 10th Edition, Wiley