What is a solution to the differential equation $3 y^{2} \frac{d y}{d x} = 1$ $3y^2dy/dx=1$ ?

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Answer 1 · 2016-09-30T18:48:04

$y = \sqrt[3]{x + C}$ $y = root(3)(x+C)$

Grouping variables

$3 y^{2} d y = d x$ $3y^2dy = dx$ and integrating

$y^{3} = x + C$ $y^3= x + C$ so

$y = \sqrt[3]{x + C}$ $y = root(3)(x+C)$

What is a solution to the differential equation 3y^2dy/dx=13y2dydx=13y^2dy/dx=1?