To solve a separable Differential Equation such as dy/dx + xy=0 or rewritten dy/dx = – x*y with initial condition y(0)=2 use the Differential Equation Made Easy app at www.TinspireApps.com , use menu option 1 3 (Separation of Variables) and enter as follows :
to finally get both the general and particular solutions.
Finding Partial Derivatives using the TiNspire can easily be done using Calculus Made Easy at www.tinspireapps.com as follows: In the Menu select Multivariable Calculus, then select Partial Derivatives and Gradient:
Next enter the given function using x and y as variables:
The two partial derivatives are highlighted , the 2. partial derivatives are found shown below.
You do have the option to evaluate the partial derivatives by entering x0 and y0 values in the 2. box as shown below :
Say we have to logarithm base 6 of the cube root of 3 , here is how we enter it into the TiNspire CX CAS:
Upon pressing ENTER we will see the pretty format and the answer:
Let’s do another example: Logarithm base 6 of 1296 :
Pressing ENTER yields the solution 4 (since 1296 = 6^4) :
Here is exponential equation involving logarithm:
This is how it is entered:
Conveniently, log base 10 and exponential base 10 function cancel to get
Now we solve this function:
We enter as
The reason for that clean answer is using the ln rules as follows:
We have to solve the following logarithmic equation:
log((r+15)^2,3) = 4 and lastly
solve( log((r+15)^2,3) = 4 , r)
which solves for r using the TiNspire cx .
By hand: log_3_(r+15)^2 = 4 calls for exponentiating both sides using base 3 which yields : (r+15)^2 = 3^4 = 81 Square rooting both sides : r+15 = plus or minus 9 Thus, r = -6 or r = -24 . Plug each into the original equation to verify the correctness.
Using the Electrical Engineering Made Easy using the TiNspire CX calculator at https://www.tinspireapps.com/?a=ELEME we added functionality for AC Circuits. Look at the images below. In particular, the single phase and the 3 phase ALL IN ONE Solver come in very handy.