Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Scegliere un'opzione
- Equazione differenziale esatta
- Equazione differenziale lineare
- Equazione differenziale separabile
- Equazione differenziale omogenea
- Prodotto di binomi con termine comune
- Metodo FOIL
- Load more...
We can identify that the differential equation $y^2dx=\left(xy-x^2\right)dy$ is homogeneous, since it is written in the standard form $M(x,y)dx+N(x,y)dy=0$, where $M(x,y)$ and $N(x,y)$ are the partial derivatives of a two-variable function $f(x,y)$ and both are homogeneous functions of the same degree
Learn how to solve equazioni differenziali problems step by step online.
$y^2dx=\left(xy-x^2\right)dy$
Learn how to solve equazioni differenziali problems step by step online. y^2dx=(xy-x^2)dy. We can identify that the differential equation y^2dx=\left(xy-x^2\right)dy is homogeneous, since it is written in the standard form M(x,y)dx+N(x,y)dy=0, where M(x,y) and N(x,y) are the partial derivatives of a two-variable function f(x,y) and both are homogeneous functions of the same degree. Use the substitution: x=uy. Expand and simplify. Group the terms of the differential equation. Move the terms of the u variable to the left side, and the terms of the y variable to the right side of the equality.
