Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choisir une option
- Equation différentielle exacte
- Équation différentielle linéaire
- Équation différentielle séparable
- Equation différentielle homogène
- Produit de binômes avec terme commun
- Méthode FOIL
- Load more...
Group the terms of the differential equation. Move the terms of the $y$ variable to the left side, and the terms of the $x$ variable to the right side of the equality
Learn how to solve problems step by step online.
$\frac{1}{4y}\left(y-3\right)dy=\frac{1}{x}dx$
Learn how to solve problems step by step online. dy/dx=(4y)/(x(y-3)). Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{4y}\left(y-3\right)dy. Apply the formula: b\cdot dy=a\cdot dx\to \int bdy=\int adx, where a=\frac{1}{x}, b=\frac{y-3}{4y}, dyb=dxa=\frac{y-3}{4y}dy=\frac{1}{x}dx, dyb=\frac{y-3}{4y}dy and dxa=\frac{1}{x}dx. Solve the integral \int\frac{y-3}{4y}dy and replace the result in the differential equation.
