ODE Solver vs. ODE-Solver-Integrator Pro Utilizzo e statistiche
An ordinary differential equation or ODE is a differential equation containing a function or functions of one independent variable and its derivatives.
ODE Solver solves systems of ordinary equations with initial boundary conditions with 4th order Runge Kutta Method. It plots and lists results exporting them via email.
All variables, x, u, and t, should be entered with "$" prefix and ODE Solver does the rest.
Example: Typical Pendulum
dx/dt = $u
du/dt= -pi()**2/4*sin($x)-0.1*$u
Following functions are available in ODE Solver:
Operators:
+ add
- subtract
* multiply
/ divide
** pow exponentiation
Functions:
sqrt() - returns the square root of the passed parameter
log() - returns the base 10 log of the passed parameter
ln() - returns the base e log of the passed parameter
exp() - returns e raised to the power of the passed parameter
The trigonometric functions:
dtor() - converts the passed parameter from degrees to radians
rtod() - converts the passed parameter from radians to degrees
sin(), cos(), tan()
Their inverses (asin, acos, atan)
Their reciprocals (csc, sec, cotan)
The reciprocals of the inverses (acsc, asec, acotan)
The hyperbolic variations of all the above functions (sinh, cosh, tanh, asinh, acosh, atanh, csch, sech, cotanh, acsch, asech, acotanh)
Constants:
pi() - returns the value of π.
pi_2() - returns the value of π/2
pi_4() - returns the value of π/4
e() - returns the value of e
Other:
-Entry field background color turns to red color in case of unpaired parentheses and turns to green color once parentheses are paired again.
- Entry field background color turns to red colour in case of unpaired parentheses and turns to green color once parentheses are paired again.
- Recognizing entries with errors and raising warnings.
- Special keypad for formula entries.
- Cursor arrows enables editing entries.
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The ODESolverIntegrator is a simple but elegant app to find the integral of ODEs.
You can solve (find the integral of) nonlinear ODEs.
You can reduce the higher order ODE to a set of first order ODEs.
You can solve (find the integral of) linear ODEs in the form of ẋ = Ax + Bu; y = Cx + Du.
This app uses Runge-Kutta 4th order algorithm to solve the ODEs.
Once the ODEs are solved, a beautiful interactive graph for each ODE's is created that you can share with other or save it locally.
The reduced ODE's equations are presented beautifully in the math-equation format.
You can compute definite integral (single, double, tripple). It uses the midpoint method.
It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost.
This app also has a Study page to help you learn important integration rules like, power rule, product rule, ect.
This app is perfect for students learning calculus.
Sharpen you brain by using this app and learning about the calculus.
This is an app for all student groups. From high school to college to university students.
Be creative. Enjoy the app!
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ODE Solver VS.
ODE-Solver-Integrator Pro
17icembre d, 2024