ODE-Solver-Integrator vs Vectors and Planes Usage & Stats
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!
- Apple App Store
- Free
- Education
Store Rank
- -
“Vectors and Planes” App helps visualize and understand 3D linear and quadric structures and their intersections.
List of linear structures and combinations:
1. Two vector combination.
2. Plane.
3. Line and plane combination.
4. Two plane combination.
5. Three plane combination.
Current list of quadric structures:
1. Two sphere combination.
2. Standard ellipsoid.
3. Ellipsoid in a form of positive-definite matrix.
4. Standard cone.
5. Cone in a form of indefinite matrix.
6. 1-sheet hyperboloid.
7. 1-sheet hyperboloid in a form of indefinite matrix.
8. 2-sheet hyperboloid.
9. 2-sheet hyperboloid in a form of indefinite matrix.
10. Standard cylinder.
11. Cylinder in a form of positive-semidefinite matrix.
12. Hyperbolic paraboloid.
13. Elliptic paraboloid.
Current list of combinations of quadric and linear structures:
1. Matrix ellipsoid and line.
2. Standard ellipsoid and plane.
3. Matrix ellipsoid and plane.
4. Matrix cone and line.
5. Standard cone and plane.
6. 1-sheet hyperboloid in matrix form and line.
7. 2-sheet hyperboloid in matrix form and line.
8. Matrix cylinder and line.
9. Elliptic paraboloid and line.
10. Hyperbolic paraboloid and line.
Interactive 3D graphs are provided for all of the above.
Step by step calculation algorithms are provided for all intersection point sets.
Many of the algorithms are based on Linear Algebra concepts. Those, in turn, are explained in our “Matrix Solver Step by Step” app.
Version 10 was completely redesigned.
Developers hope to get feedback from users at graphmath@aol.com.
- Apple App Store
- Free
- Education
Store Rank
- -
ODE-Solver-Integrator VS. 
Vectors and PlanesDecember 16, 2024