Does anyone know if there is any calculator or how can I input this system of differential equation in wolfram?
$$\frac{dy_1}{dt}=0.279\left[-0.125y_1+2y_2-1.25y_C+1.25e\right]$$
$$\frac{dy_2}{dt}=-0.167\left[-0.333y_1+12.5y_2-0.333y_C+0.333e\right]$$
$$\frac{dy_C}{dt}=2y_1$$
And $e$ is a function, defined as
$$e(t) = 210\sin(10\pi t), t \in [0, 30].$$
I've solved this using Euler method, but I want to verify my results and I'm looking for suitable tool.
Diagrams with results:
step = 0.1
step = 0.01
Thanks in advance.