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- Equation différentielle exacte
- Équation différentielle linéaire
- Équation différentielle séparable
- Equation différentielle homogène
- Produit de binômes avec terme commun
- Méthode FOIL
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When we identify that a differential equation has an expression of the form $Ax+By+C$, we can apply a linear substitution in order to simplify it to a separable equation. We can identify that $\left(x+y\right)$ has the form $Ax+By+C$. Let's define a new variable $u$ and set it equal to the expression
Learn how to solve equations différentielles problems step by step online.
$u=x+y$
Learn how to solve equations différentielles problems step by step online. dy/dx=(x+y)^2. When we identify that a differential equation has an expression of the form Ax+By+C, we can apply a linear substitution in order to simplify it to a separable equation. We can identify that \left(x+y\right) has the form Ax+By+C. Let's define a new variable u and set it equal to the expression. Isolate the dependent variable y. Differentiate both sides of the equation with respect to the independent variable x. Now, substitute \left(x+y\right) and \frac{dy}{dx} on the original differential equation. We will see that it results in a separable equation that we can easily solve.
