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Gaussian Elimination


Definition

Gaussian elimination (also known as row reduction) is an algorithm for solving systems of linear equations. It is usually understood as a sequence of operations performed on the associated matrix of coefficients.

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Problems Solved

Find the integral $\int\frac{\left(1\right)}{\left(x^4-16\right)}dx$
Find the integral $\int\left(\frac{3}{x^2+4x-5}\right)dx$
$x\:\frac{dy}{dx}+y^2=y$
$x^2y\frac{dy}{dx}+1=y^2$
$\frac{dy}{dx}=y\left(3-y\right)$
$\frac{dy}{dt}=y\left(1-y\right)$
Find the integral $\int\:\frac{4dx}{x^2-4}$
$x\frac{dy}{dx}-y^4=1$

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