vb code, Mathematics

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Theorem of reduction of order, In this theorem we identify that for a speci...

In this theorem we identify that for a specified differential equation a set of fundamental solutions will exist. Consider the differential equation  y′′ + p (t ) y′ + q (t

Multiplication of two like terms with opposite signs, The product of -7ab a...

The product of -7ab and +3ab is (-7 x 3) a 2  b 2  = -21a 2  b 2 . In other words, a term with minus sign when multiplied with a term having a positive sign, gives a product having

Proof of limit comparison test - sequences and series, Proof of Limit Compa...

Proof of Limit Comparison Test As 0  Now, as   we know that for large enough n the quotient a n /b n should be close to c and thus there must be a positive integer

Fourier series - partial differential equations, Fourier series - Partial D...

Fourier series - Partial Differential Equations One more application of series arises in the study of Partial Differential Equations.  One of the more generally employed method

Free - undamped vibrations, It is the simplest case which we can consider. ...

It is the simplest case which we can consider. Unforced or free vibrations sense that F(t) = 0 and undamped vibrations implies that g = 0. Under this case the differential equation

Determine y' for xy = 1 by implicit differentiation, Determine y′ for xy = ...

Determine y′ for xy = 1 . Solution : There are in fact two solution methods for this problem. Solution 1: It is the simple way of doing the problem.  Just solve for y to

Calculate subsequent proportion, Calculate subsequent proportion: A re...

Calculate subsequent proportion: A recipe calls for 1(1/2) cups of flour to make servings for 6 people.  How much flour should be used to make servings for 4 people? Solut

Need help, If 28,000 = 85% and 28,000 / X = 100%. What the freak is X and h...

If 28,000 = 85% and 28,000 / X = 100%. What the freak is X and how do you work it out.

Sketch the graph f ( x ) = - x5 + (5/2 )x4 + (40/3) x3 + 5, Sketch the grap...

Sketch the graph of the below function. f ( x ) = - x 5 + (5/2 )x 4 + (40/3) x 3 + 5 Solution : Whenever we sketch a graph it's good to have a few points on the graph to

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