Differential Equations.., Algebra

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Differential Equations, Mathematics











1.Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)

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Word problem, A company makes and sells notebook computers. The company’s c...

A company makes and sells notebook computers. The company’s cost function in thousands of dollars is C(x) = 0.3x + 100, and the revenue function in thousands of dollars is R(x) = 0

Remainder and Factor Theorems, I have a homework question to use the factor...

I have a homework question to use the factor theorem that I need to use Synthetic Substitution with. I did all the work and the divisor is a factor but the equation I have to use t

Process for graphing a rational function, 1. Determine the intercepts, if t...

1. Determine the intercepts, if there are any.  Recall that the y-intercept is specified by (0, f (0)) and we determine the x-intercepts by setting the numerator equivalent to z

Example of equations with more than one variable, y = 4 - 3x /1 + 8x for x....

y = 4 - 3x /1 + 8x for x. Solution This one is very alike to the previous instance.  Here is the work for this problem. y + 8xy = 4 - 3x 8xy + 3x = 4 - y X(8 y +3)

Centeal Theme, #question. What is central theme in algebra?

#question. What is central theme in algebra?

Find out the partial fraction decomposition, Find out the partial fraction ...

Find out the partial fraction decomposition of each of the following. 8x 2 -12/( x( x 2 + 2 x - 6) Solution In this case the x which sits in the front is a linear term

Example of mixing problems, How much of a 50% alcohol solution should we mi...

How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution? Solution Let x is the amount of 50% solution which we need.  It me

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