applications of differential equations

As we have mentioned earlier that almost every branch of study deals with problems involving differential equation, in this section we solve few examples to exhibit the application of differential equation in various branches of knowledge.As we have..

Differential calculus can be considered as mathematics of motion, growth and change where there is a motion, growth, change. Whenever there is variable forces producing acceleration, differential calculus is the right mathematics to apply. Application of derivati..

1. To understand molecular events in biological processes such as cell differentiation and aging. 2. It can be used to make precise gene maps. 3. Useful chemical compounds can be produced example: injectable hepatitis B vaccine. 4. It has provided a broad range of tools to aid physicians ..

Summary - Let y = f(x) be a smooth curve and P(x,y) be a point on the curve. Equation of the tangent at (x 1 , y 1 ) in the curve y = f (x) is y - y..

Two major applications of probability theory in everyday life are in risk assessment and in trade on commodity markets. Governments typically apply probabilistic methods in environmental regulation where it is called "pathway analysis". Example: In a housing colony 70% of th..

This law is used in comparing the temperature of any two or more systems by the common use of thermometer. For example, in order to compare temperature of two bodies X and Y, the thermometer (analogous to body C) is allowed to come into thermal equilibrium first with body X and then with body Y by..

Vanishing cream gives a thin film on the skin, which is not greasy or conspicuous. This can be used as a powder base or as a face cream for oily skins. It increases dryness and might cause roughness on dry skin..

High performance micro alloys are used in automotive, agricultural, truck and heavy equipment component..

A travelling sales man can find the shortest routes to save time / fuel cost. The most economic and efficient manner of locating manufacturing plants and distribution centres may be used. Linear programming may be used for effective and efficient production management and manpower manageme..

(i) Radioactive dating This gives us an approximate age of the rock or material containing the radioactive atoms. For e.g., A measurement of a fraction of uranium atom which have decayed into lead (by knowing the half life of uranium) tells us how old the rock is. (ii) Radiation from space conve..