Applications of Integration
We study three areas where applications of integration is applied
1. Areas of curves
2. Length of curves
3. Volumes of revolution
Differential Equations
Differential equations are fundamental in engineering mathematics since many of the physical laws and relationships between physical quantities appear mathematically in the form of such equations.
Definitions
A differential equation is an equation that involves derivatives or differential coefficients or differentials. Thus, the following are all examples of differential equations.
An ordinary differential equations is that in which all the differential coefficients all with respect to a single independent variable. Thus the equations (a) to (d) are all ordinary differential equations. (e) is a system of ordinary differential equations.
A partial differential equations is that in which there are two or more independent variables and partial differential coefficients with respect to any of them. The equations (f) and (g) are partial differential equations.
The order of a differential equation is the order of the highest derivative appearing in it. The degree of a differetial equation is the degree of the highest derivative occurring in it, after the equation has been expressed in a form free from radicals and fractions as far as the derivatives are concerned.
Dear Aspirants,
Your preparation for GATE, ESE, PSUs, and AE/JE is now smarter than ever — thanks to the MADE EASY YouTube channel.
This is not just a channel, but a complete strategy for success, where you get toppers strategies, PYQ–GTQ discussions, current affairs updates, and important job-related information, all delivered by the country’s best teachers and industry experts.
If you also want to stay one step ahead in the race to success, subscribe to MADE EASY on YouTube and stay connected with us on social media.
MADE EASY — where preparation happens with confidence.
MADE EASY is a well-organized institute, complete in all aspects, and provides quality guidance for both written and personality tests. MADE EASY has produced top-ranked students in ESE, GATE, and various public sector exams. The publishing team regularly writes exam-related blogs based on conversations with the faculty, helping students prepare effectively for their exams.
