Solution 29650: Solving Second Order Differential Equations Using the TI-Nspire™ CAS Family Products.
How do I solve a second order differential equation using the TI-Nspire CAS family products?
First and second order differential equations can be solved by using the deSolve( command.
For example: First Order Equation
Solve the equation y''+2y'+y=x2.
1) Press [Menu] [4: Calculus] [D: Differential Equation Solver]
Please Note: To get ", press the [?!>] key and select ' from the template. Select ' twice instead of selecting ".
2) Enter [y] ['] ['] [+] [2] [y] ['] [+] [y] [=] [x] [^] [2] [,] [x] [,] y]
3) Press [ENTER] to display the answer. The variables c1, c2, etc are constants.
For example: Second Order Equation
A ball is tossed straight up from an initial height of 0.29 meters and with an initial velocity of 3.8m/s. Solve the second order differential equation below to model the height of the ball over time:
y"=-9.8, y(0)=.29, y'(0)=3.8
1) Press [Menu] [4: Calculus] [D: Differential Equation Solver]
Please Note: To get ", press the [?!>] key and select ' from the template. Select ' twice instead of selecting ".
2) Enter [y] ['] ['] [=] [(-)] [9] [.] [2] [8] [,] [space] [a] [n] [d] [space] [y] [(] [0] [)] [=] [.] [2] [9] [space] [a] [n] [d] [space] [y] ['] [(] [0] [)] [=] [3] [.] [8] [,] [t] [,] [y] [)]
3) Press [ENTER].
Please see the TI-Nspire CX CAS, or TI-Nspire CAS guidebooks for additional information.