This is an easy to use version of another computer algebra system called mupad which is somewhat like MATLAB. (In fact, mupad is part of the symbolic math toolbox which is also used by MATLAB.) The difference is that you use standard notation and there is virtually no complicated syntax to fuss with. For example, suppose you want to find the solution to

Then you go to the tool bar and select a matrix which is 2 × 1 and fill in the differential equation on the top and the initial condition on the bottom. The symbols should all be in red indicating it is a math expression. To adjust this, click on the T which is on the top tool bar if it is not a red M and this will change to red M. However, this will be automatic if you are just filling in a matrix.

Then you click on one of the cells of the matrix to place the cursor there and then click on “compute” solve ODE and exact. It will ask you for the name of the independent variable. I named it t. The result is as follows.

If you want to graph it, you select it and paste it on another line, and click on the expression. Now you go to compute and then plot2D and select rectangular. This will give you a graph of the function. This software often works and is very easy to use when it does.
If you want to do a numerical solution, the steps are similar. Enter the equation and initial condition as before. Then click on the matrix and go to compute, solveODE and numeric. This will return a function called y as shown below.
y^{′} = y − y^{2} 
y = 2

Of course, you would want to graph y and so you do the same thing. Place y on a new line, click on it, and then select compute, plot2D, and ODE. You can also simply click on compute, plot2D, and then ODE and this will produce the graph right after the y. Either way, the graph looks like the following for t ∈
To clear the definition of the function, you click compute, definitions, clear definitions.
It is very fun to use, but sometimes it stalls and nothing happens. You end up having to close the program and open it again to put a stop to this. This can also happen with MATLAB if there is something amiss in the syntax, for example but with MATLAB, you press control c to put an end to it. The advantage Scientific Notebook has over all the other computer algebra software is that there is no syntax to worry about. You just use standard math notation and it gives the solution in standard math notation also. This is particularly helpful when you are trying to find explicit formulas for the solutions rather than numerical solutions. However, it sometimes has trouble with surprisingly easy problems.