applications of linear differential equations

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 manage..

Applications 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..

Transportation Problem - Goods have to be transported from sources (like factories) to destinations (like warehouses) on a regular basis. The transportation problem deals with minimising the costs in doing so. Linear programming effectively deals with this proble..

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..

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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 ..

Application of Determinants, Area of a Triangle, Cramer's rule for the solution of a system of equations in 2 variables, Consistency of a system of linear equation. Application of Matrices, Homogeneous Equations (Constant = 0)..

Theoretical/empirical probability Probability models Studying patterns and analyzing data Rates, linear functions, direct/inverse variation Problems related to personal income, credit, financial planning Transformations, symmetr..

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..