Photo Systems of ODEs

This app uses a specified IVP method to numerically approximate the solution of a system of ordinary differential equations

\(\qquad \dfrac{\mathrm{d} x_{1}}{\mathrm{d} t} = f_{1}'(t, y) \)
\(\qquad \dfrac{\mathrm{d} x_{2}}{\mathrm{d} t} = f_{2}'(t, y) \)

\(\qquad\qquad \vdots\)

\(\qquad \dfrac{\mathrm{d} x_{n}}{\mathrm{d} t} = f_{n}'(t, y) \)

with \( a \leq t \leq b, \quad x_{1}(a) = \alpha_{1}, x_{2}(a) = \alpha_{2}, \cdots, x_{n}(a) = \alpha_{n}.\)

and plots the results on a graph for visualization purposes.

Label Description / Your input
1
A system of \(n\) ODE equations.
2
Start and end time points respectively.
3
Value of dependent variable at time zero, \(y_{0} = y(t_{0})\).
4
Either the number of steps, \(n\) specified as an integer or the step-size, \(h\) where \(t_{0} < h < t_{f}\).
5
Initial value problem method to be used to solve the systems ODE equations numerically.
6
Number of iterations to display.
7
Decimal points to display (does not affect internal precision).

Photo Systems of ODEs

Enter your valid inputs then click to display results.

Our applications use latest technologies to bring computational power to the web, and are the result of 10+ years of lecturing, training, research, programming and development.

Photo Systems of ODEs

Enter your valid inputs then click to display Python syntax.

Our applications use latest technologies to bring computational power to the web, and are the result of 10+ years of lecturing, training, research, programming and development.