Recent questions in Differential Equations

Quintacj
2022-05-24
Answered

$x\frac{dy}{dx}=y+x\frac{{e}^{x}}{{e}^{y}}?$

I tried to rearrange the equation to the form $f\left(\frac{y}{x}\right)$ but I couldn't thus I couldn't use $v=\frac{y}{x}$ to solve it.

Denisse Valdez
2022-05-21
Answered

$\frac{dy}{dx}}=f(x,y)$

where $f(x,y)$ is a homogeneous function. I found some examples like $f(x,y)=(x+y{)}^{2}$ where it can be solved after converting it to Ricatti's equation.

thanks

Landon Bonilla
2022-05-21
Answered

$\frac{dy}{dx}=\frac{x-\mathrm{exp}(y)}{y+\mathrm{exp}(y)}$

I thought I could use separation of variable, but I'm unable to isolate x.

Could you please help me get started on this differential equation?

Speaking of differential equations, these are used not only by those students majoring in Physics because solving differential equations is also quite common in Statistics and Financial Studies. Explore the list of questions and examples of equations to get a basic idea of how it is done.

These answers below are meant to provide you with the starting points as you work with your differential equations. If you need specific help or cannot understand the rules behind the answers that are presented below, start with a simple equation and learn with the provided solutions..