I am a new college professor, teaching Differential Equations this fall for the first time, and I am finding myself needing to learn to use WolframAlpha and Mathematica by myself--as I was not taught DiffEq with the software. How can i get caught up to speed, at least with applications appropriate for Differential Equations, as quickly as possible?
One good example, done here in Mathematica, is the simple harmonic oscillator, using F = m a, where F = - k x
In[1]:= DSolve[m * x''[t] == -k * x[t], x[t], t] Out[1]= {{x[t] -> C[1] Cos[(Sqrt[k] t)/Sqrt[m]] + C[2] Sin[(Sqrt[k] t)/Sqrt[m]]}}
