Differential equation of function composition of two variables.

[sall]

Morning All.

I have a system I am completely stuck on.

\(\displaystyle \large{ \dfrac{A\, \times\, \frac{\partial x}{\partial t}\, -\, B\, \times\, \frac{\partial y}{\partial t}\, +\, C_1}{\ln\left(\frac{B\, \times\, \frac{\partial y}{\partial t}\, -\, x\, +\, y}{A\, \times\, \frac{\partial x}{\partial t}\, -\, x\, +\, y}\right)}\, =\, D\, \times\, \dfrac{\partial y}{\partial t}\, =\, E\, \times\, \dfrac{\partial y}{\partial t}\, +\, C_2 }\)

I need find a numerical solution of this system, like f(x(t),y(t)) = ...

Any Help

Regards

 

[stapel]

Morning All.

I have a system I am completely stuck on.

\(\displaystyle \large{ \dfrac{A\, \times\, \frac{\partial x}{\partial t}\, -\, B\, \times\, \frac{\partial y}{\partial t}\, +\, C_1}{\ln\left(\frac{B\, \times\, \frac{\partial y}{\partial t}\, -\, x\, +\, y}{A\, \times\, \frac{\partial x}{\partial t}\, -\, x\, +\, y}\right)}\, =\, D\, \times\, \dfrac{\partial y}{\partial t}\, =\, E\, \times\, \dfrac{\partial y}{\partial t}\, +\, C_2 }\)

I need find a numerical solution of this system, like f(x(t),y(t)) = ...

Please reply showing your thoughts and efforts so far, leading up to the point at which you are getting stuck. Thank you!