Final answer to the problem
$\frac{-1}{y^{2}}=\frac{1}{-3x^{3}}+C_0$
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Step-by-step Solution
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1
Factor $3y^3dx-6x^4dy$ by the greatest common divisor $3$
$3\left(y^3dx-2x^4dy\right)=0$
Learn how to solve equazioni differenziali problems step by step online.
$3\left(y^3dx-2x^4dy\right)=0$
Learn how to solve equazioni differenziali problems step by step online. 3y^3dx-6x^4dy=0. Factor 3y^3dx-6x^4dy by the greatest common divisor 3. Apply the formula: ax=b\to x=\frac{b}{a}, where a=3, b=0 and x=y^3dx-2x^4dy. Group the terms of the equation. Apply the formula: ma=nb\to a\left|m\right|=b\left|n\right|, where a=x^4dy, b=y^3dx, m=-2 and n=-1.
Final answer to the problem
$\frac{-1}{y^{2}}=\frac{1}{-3x^{3}}+C_0$
