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When solving a Differential Equation y’=y*(5-y) , y(0)=9 numerically using the Euler Method given stepsize of 0.1 use the Differential Equations made Easy app at www.tinspireapps.com and select Euler Method in the Menu as shown below :
Now you just enter the Differential Equation in the top box and the starting point and the step size in the bottom box as shown below:
The bottom box now shows the step by step solution of the Euler Method. Works correctly for any given Differential Equation.
Alternative to the Euler Method you may also the built-in Runga Kutta RK4 method.
When creating a pretty Pole Zero Plot you will pull out your trusty TiNspire CX CAS , launch the Electrical Engineering Made Easy app (download at www.TiNSpireApps.com) and select option 9 in the menu
and enter the given Transfer Function as follows:
Finally, we head over to tab 1.3 to view the resulting Pole Zero Plot. The Zeros are drawn using O (here z=-6 since that makes the numerator equal to 0) . The Poles are marked using X (here positive and negative 3i as the make the denominator equal to 0).
Pole Zero Plots are a very simple and effective way to display the properties of a Transfer Function.
Say you have to classify nodes when studying the stability of Non-Linear Systems. Use the Differential Equations Made Easy App at www.TinspireApps.com under menu item 3 E . Enter the given System as follows in the two top boxes:
When plugging the critical points into the Jacobian we are able to compute the EigenValues that allow us to classify the nodes as stable, unstable, saddle point, center or spiral point.
Say your teacher has some fancy fractions to solve for you and you have a volleyball game , play practice and to prepare for the SAT next Saturday. So you take out your TiNspire CX CAS, launch the STEP BY STEP EQUATION SOLVER app from www.TiNspireApps.com and get a quick lesson on how to solve those fractions…which turns out not too difficult after following the provided steps below:
We select option 5 :
to get 5/14 . The trick is to multiply the given fractions by the product of their denominators (bottoms) to get a much easier equation to solve.
Here is another one:
It always works!
Quadratic equations can also be solved step by step. Here is one:
Even equations containing only variables can be solved (for x):
Using the Step by Step Equation Solver at www.TiNspireApps.com we can solve – step by step – equations involving Logarithms such as
just type it in the top box and view the step by step solution in the bottom box:
Another example using natural logarithm instead of base 10 :
Say we are asked to expand logarithms, we will then use the Algebra Made Easy app at www.tinspireapps.com , go to menu option EXPAND, enter our condensed log expression in the top box to view the expanded version as shown below :
Lastly , we are given an expanded logarithmic expression and we are asked to condense. Well, you know what to do: use the Algebra Made Easy app at www.tinspireapps.com , go to menu option CONDENSE , enter our expanded log expression in the top box to view the condensed version as shown below :