3 years ago

Solve for x x^2-2x-2=0

1 answer:

6 0

I believe it’s x=1+√3,1−√3

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Brrunno [24]

The ODE is separable:

$3y\,\mathrm dx+(xy+5x)\,\mathrm dy=0\implies x(y+5)\,\mathrm dy=-3y\,\mathrm dx\implies\dfrac{y+5}y\mathrm dy=-\dfrac3x\,\mathrm dx$

Integrating both sides gives

$\displaystyle\int\left(1+\frac5y\right)\,\mathrm dy=-3\int\frac{\mathrm dx}x\implies y+5\ln|y|=-3\ln|x|+C$

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