#title.equatations., Mathematics

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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

How do you find the second minimum spanning tree of a graph, How do you fin...

How do you find the second minimum spanning tree of a graph?  Find the second minimum spanning tree of the following graph.  Ans: The second minimum spanning tree is acq

Two circles touch each other externally, Two circles touch each other exter...

Two circles touch each other externally: Given: Two circles with respective centres C1 and C2 touch each other externaly at the point P. T is any point on the common tangent

Differential equations, Find the normalized differential equation which has...

Find the normalized differential equation which has {x, xex} as its fundamental set

Show that the ratio of the volume of the sphere, A sphere and a cube have e...

A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans:    S.A. of sphere = S.A of cube    4π r 2

Probability, One coin is tossed thrice. what will be the probability of get...

One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails

Bits, What is the largest number (in decimal) that can be made with 6 bits?...

What is the largest number (in decimal) that can be made with 6 bits?

Rules for partial derivatives, Rules for Partial Derivatives ...

Rules for Partial Derivatives For a function, f = g (x, y) . h (x, y) = g (x, y)   + h

What is plotting points, What is Plotting Points? To "plot" or "graph" ...

What is Plotting Points? To "plot" or "graph" values means to find points on a number line. The numbers four, negative two, negative three, zero, two, and negative four are bei

Business applications, Business Applications In this section let's tak...

Business Applications In this section let's take a look at some applications of derivatives in the business world.  For the most of the part these are actually applications wh

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