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Example of differential equations, y(x) = x -3/2 is a solution to 4x 2 y′...

y(x) = x -3/2 is a solution to 4x 2 y′′ + 12xy′ + 3y = 0 , y (4) = 1/8 , and y'(4) = -3/64 Solution :  As we noticed in previous illustration the function is a solution an

Second order differential equation, Write the subsequent 2nd order differen...

Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0  y (3) = 6  y′ (3) = -1  We can wri

Determine the probability of given question, Q. Assume a birthday is equall...

Q. Assume a birthday is equally likely to occur in each of the 365 days. In a group of 30 people, what is the probability that no two have birthdays on the same day? Solution:

Example of addition of signed numbers, Example of addition of Signed Number...

Example of addition of Signed Numbers: Example: (-2) + 3 + 4 = 0 - 2 + 3 + 4 Solution: Thus: (-2) + 3 + 4 = 5  Example: 10 + (-5) + 8 + (-7)

Introduction to mathematics, We know that one has to deal with ...

We know that one has to deal with numbers in day-to-day life irrespective of his inclination and field of work. Also one cannot refute the fact

Differentials, Differentials : In this section we will introduce a nota...

Differentials : In this section we will introduce a notation. We will also look at an application of this new notation. Given a function y = f ( x ) we call dy & dx differen

Demerits and merit-the geometric mean , The geometric mean Merits ...

The geometric mean Merits i.  This makes use of all the values described except while x = 0 or negative ii.   This is the best measure for industrial increase rates

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