PiBase vs ODE

π-Base Topology is a community database of topological counterexamples. The database has: - Topological Spaces - Topological Theorems. - Topological Properties. - References (Books, Articles, Forums). Information inside the app: - Space, Theorem and Property descriptions. - Properties that are (and aren´t) satisfied by a given space. - Converses of theorems for which a given space is a counterexample. - Given a property, which spaces satisfy and don´t satisfy it. - Counterexamples for the converse of a given theorem. If the converse is True, a proof or reference is given. - Spaces that satisfy a given logical formula formed with properties (search by formula). - References.

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!