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System of first order equations, Consider the Van der Pol oscillator x′′...

Consider the Van der Pol oscillator x′′- µ(1 - x 2 )x′ + x = 0 (a) Write this equation as a system of first order equations (b) Taking µ = 2, use MatLab's routine ode45 to

Permuttation, A telephoned dialled number 0 to 9.if 0 is dialled first the ...

A telephoned dialled number 0 to 9.if 0 is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local num

Find out if the following series converges or diverges, Determine or find o...

Determine or find out if the following series converges or diverges.  If it converges find out its value. Solution We first require the partial sums for this series.

Describe real numbers, Q. Describe Real numbers? Ans. There are a ...

Q. Describe Real numbers? Ans. There are a few different ways to describe real numbers. Without going into any of the very technical definitions used by mathematicians, I'

L''hospital''s rule, L'Hospital's Rule Assume that we have one of the g...

L'Hospital's Rule Assume that we have one of the given cases, where a is any real number, infinity or negative infinity.  In these cases we have, Therefore, L'H

Fraction, 5645.356 turn into fraction

5645.356 turn into fraction

Find the distance of the bird from the girl, A boy standing on a horizontal...

A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 300. A girl standing on the roof of 20 meter high building finds the angl

Empty set, There is one final topic that we need to address as far as solut...

There is one final topic that we need to address as far as solution sets go before leaving this section. Consider the following equation and inequality.

speed of the truck , A man travels 600km partly by train and partly by tru...

A man travels 600km partly by train and partly by truck. If he  covers 120km by train and the rest by truck, it takes him eight hours. But, if he travels 200km by train and the res

Arithmetic progression, the radii of circular base of right circular cylind...

the radii of circular base of right circular cylinder and cone are in the ratio of 3:4 and their height are in the ratio of the 2:3 what is the ratio of their volume?

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