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Step-by-step Solution

Solve the differential equation $\frac{dy}{dx}=\frac{x}{y}$

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Solution

Formulas

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Step-by-step explanation

Problem to solve:

$\frac{dy}{dx}=\frac{x}{y}$

Unlock this full step-by-step solution!

Answer

$y=\pm \sqrt{\frac{\frac{1}{2}x^2+C_0}{\frac{1}{2}}}$

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Main topic:

Differential equations

Related formulas:

1. See formulas

Time to solve it:

~ 0.05 seconds

Related topics:

Differential equationsFraction cross multiplicationFirst order differential equationsSeparable differential equationsIntegrals of polynomial functions

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