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Laplace transform of e^{at}

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Indices

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Converting a decimal number to binary.

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Converting Binary to Decimal

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Converting a number from binary to decimal.

Equations which can be written in the form

\[\dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x),   \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(y),   \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x)f(y)\]

can all be solved by integration.

In each case it is possible to separate the $x$'s to one side of the equation and the $y$'s to the other

Solving such equations is therefore known as solution by separation of variables

Indices

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Integration by Substitution

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Expand $(ax+b)(cx+d)$.

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Expansion of two brackets

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Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

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Ratio, working hours

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Ratio of sides of rectangles

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Simplifying ratios

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Ratio Questions

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Split winnings in a ratio

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Ratios used in alloys and mixing paints

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Ratio Questions

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Including VAT

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Cost price, selling price, profit and loss

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Finding the exVAT price

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Profit and Loss, Percentages

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