an online course material on Law of natural growth First order - Ordinary differential equation, To make learning maths engineering for college students easier to understand.To learn more about mathematical engineering, Visit our website maths.engineering to help you grasp the concept of engineering mathematics. (quick maths learning)
Maths. Engineering platform is a digital guide covering all topics relevant to engineering mathematics. The platform functions as an instructional tool for faculties and a self-learning tool for students.
Our digital platform is the first to use immersive videos of solved problems to help learners quickly understand mathematics concepts. Every video will have step-by-step animations and quick tips to help learners excel in their examinations.
Our Platform covers many of the leading Technical (State, Deemed, Private) university syllabus Pat-terns. We’re constantly adding more mathematics topics to ensure we cover all Engineering Math-ematics topics at a global level.
Freemium Model
This is a Freemium Model platform where learners are given options to view a set of solved problems videos at no cost. Learners who wish to access the complete course can upgrade to the premium model by paying a nominal subscription fee.
Android Mobile App
https://play.google.com/store/search?q=maths.engineering&c=apps
Available courses (As per university syllabus)
1. Anantapur - Jawaharlal Nehru Technological University
a. Differential Equations and Vector Calculus (20A54201) – Regulation 20 – Semester II
2. Hyderabad - Jawaharlal Nehru Technological University
a. Mathematics - II (MA201BS) - Regulation 18 – semester II
3. Madhya Pradesh - Rajiv Gandhi Proudyogiki Vishwavidyalaya
a. Engineering Mathematics II (BT202) -- Regulation 19 – semester II
4. Maharashtra - University of Mumbai
a. Engineering Mathematics - II (FEC201) --- Regulation 18 – semester II
5. Karnataka - Visvesvaraya Technological University
a. Advanced Calculus and Numerical Methods (21MAT21) ---- Regulation 21 – semester II
6. Uttar Pradesh - DR.A.P.J Abdul Kalam Technical University
a. Engineering Mathematics II (KAS 203T) ---- Regulation 18 – semester II
7. Uttar Pradesh - DR.A.P.J Abdul Kalam Technical University
a. Engineering Mathematics II (KAS 203T) ---- Regulation 18 – semester II
8. Andhra Pradesh - Mohan Babu University
a. Differential Equations and Multivariable Calculus (20BT1BS01) - Regulation 21 – semester II
9. Telangana - Nallamalla Reddy Engineering College
a. Mathematics II (MA201BS) - - Regulation 21 – semester II
Detailed syllabus:
1. First-order ordinary differential equations
Exact Differential Equations - Linear differential equation - Linear differential equation of first order - Working Rule for solving linear differential equation - Bernoulli’s Equation – Non-linear Differential Equation - Working rule to solve Bernoulli’s equation - First order nonlinear differential equations - Equations solvable for y - Equations solvable for x - Clairaut's equation - Newton's law of cooling - Law of Natural Growth and Decay - Law of Natural Growth - Law of Natural Decay - Orthogonal trajectories in Cartesian Co-Ordinates - Orthogonal Trajectories
2. Higher order ordinary differential equations
Linear differential equations of higher order - Operator D and Auxiliary equations - General solution of f(D)y = 0 - General solution of f(D)y = e^ax - Particular Integral of X = e^ax - General solution of f(D)y = cos ax or sin ax - Particular Integral of f(D) = cosax or sinax - Working rule to evaluate particular integral - General solution of f(D)y = x^m - Particular Integral of f(D)y = x^m - General solution of f(D)y = X = e^ax f(x) - Particular Integral of f(D)y = e^ax f(x) - General solution of f(D)y = x^m sinax or xm cosax - Particular integral = x^m sinax or xm cosax - Method of variation of parameters - Cauchy's differential equations - Cauchy euler homogeneous linear equation - Legendre differential equations - Simultaneous first order linear equations with constant coefficients - Applications to Electric R-L-C circuits - Deflection of beams - Simple harmonic motion
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