Final answer to the problem
$x=\frac{1}{3}\ln\left|y\right|+C_0$
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Step-by-step Solution
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- Equation différentielle exacte
- Équation différentielle linéaire
- Équation différentielle séparable
- Equation différentielle homogène
- Produit de binômes avec terme commun
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1
Rewrite the differential equation using Leibniz notation
$y=\frac{\frac{dx}{dy}}{3}$
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$y=\frac{\frac{dx}{dy}}{3}$
Learn how to solve problems step by step online. y=(x^')/3. Rewrite the differential equation using Leibniz notation. Apply the formula: \frac{\frac{a}{b}}{c}=\frac{a}{bc}, where a=dx, b=dy, c=3, a/b/c=\frac{\frac{dx}{dy}}{3} and a/b=\frac{dx}{dy}. Group the terms of the differential equation. Move the terms of the x variable to the left side, and the terms of the y variable to the right side of the equality. Simplify the expression \frac{1}{3}\frac{1}{y}dy.
Final answer to the problem
$x=\frac{1}{3}\ln\left|y\right|+C_0$
