Archive for the ‘Uncategorized’ Category

Solving 2. order Vibrating Spring Differential Equation using the TI89

Friday, May 13th, 2016

The shown spring problem can be solved using DEQME : F2 G enter

w=9.81 (to make coeff=1)

g=9.81

b=0

k=64

F=0

Hit ENTER about 7 times , Variation of Parameter will be used to solve, then you may enter your initial conditions

x0=0

y(x0)=2/3

y'(x0)=-4/3

Voila!!

Solve 2. and 3. order Differential Equations using TI89

Tuesday, May 10th, 2016

Using Differential Equations Made for the TI89 we enter the 3 problems as shown below. Screenshots show how the problems were entered and the solutions.

Question 2) y”-2y+5y=0   y(0)=2  y'(0)=4

go to F2 2 and enter b=-2 and c=5 , x0=0, y(x0)=2 y,(x0)=4

Question 3) y”-3y+2y=6e^(-x)    y(0)=1 y'(0)=2 .

go to F2 3 and enter b=-3 c=2 , g=6e^(-x) x0=0 y(x0)=1 y'(x0)=2 . The corresponding homogeneous solution can be found with steps under F2 2

Question 4)  y”’-4y”+13y’=e^(-x)

the solution is the sum of the homogeneous and particular solutions. Thus, use 2 steps.

first find the homogeneous solution under F3 1 and enter t^3-4t^2+13t=0

next F3 2 . a=-4 b=13 c=0 g=e^(-x) to find part. solution -1/18 e^(-x)

Algebra Made Easy for TI-Nspire CX CAS is now available at www.TiNspireapps.com

Wednesday, May 4th, 2016

Algebra Made Easy for TI-Nspire CX CAS is now available at www.TiNspireapps.com
showing Step by Step solutions to all PreCalculus topics :
-Step by Step Algebra
-Step by Step Functions
-Step by Step Sequences & Series
-Step by Step Polynomials
-Step by Step Exponential and Logarithmic functions
-Step by Step Matrices & Vectors
-Step by Step Quadratic Equations and Complex Numbers
-Step by Step Trigonometry

The Algebra App requires a CAS Nspire CX. Check on the top right of your TI Nspire CX for the letters CAS.

It is small in size (33kb) considering the large memory the TiNspire CX offers.

Questions: support

PreCalculus Made Easy for TI-Nspire CX CAS is now available at www.TiNspireapps.com

Wednesday, May 4th, 2016

PreCalculus Made Easy for TI-Nspire CX CAS is now available at www.TiNspireapps.com
showing Step by Step solutions to all PreCalculus topics :
-Step by Step Algebra
-Step by Step Functions
-Step by Step Sequences
-Step by Step Polynomials
-Step by Step Exponential and Logarithmic functions
-Step by Step Matrices & Vectors
-Step by Step Conic Functions
-Step by Step Quadratic Equations and Complex Numbers
-Step by Step Trigonometry
-Step by Step Intro to Calculus

The Precalculus App requires a CAS Nspire CX. Check on the top right of your TI Nspire CX for the letters CAS.

It is small in size (33kb) considering the large memory the TiNspire CX offers.

Questions: support

Calculus Made Easy for TI-Nspire CX CAS available at www.tinspireapps.com

Wednesday, May 4th, 2016

Calculus Made Easy for TI-Nspire CX CAS is now available at www.TiNspireapps.com
showing Step by Step solutions to all Calculus I,II, III topics :
-Step by Step Differentiation
-Step by Step Integration
-Step by Step Differential Equations
-Step by Step Parametric Equations
-Step by Step Polar Functions
-Step by Step Multivariable Calculus
-Step by Step Limits and L’Hopital Rule
-Step by Step Implicit Differentiation

Trial is available.

The Calculus App requires a CAS Nspire CX. Check on the top right of your TI Nspire CX for the letters CAS.

It is fairly small in size (55kb) considering the large memory the TiNspire CX offers.

Questions: support

Solve Differential Equation using LaPlace Transform with the TI89

Saturday, April 30th, 2016

Lets solve y”-4y’+5y=2e^t y(0)=3 , y'(0)=1
Go to F5 1 and enter the D.Eqn as shown in the image,
just press enter and see how the solution is derived , nicely laid out, step by step using Differential Equations Made Easy.

The support I get from TI89.com has been phenomenal !!!!

Saturday, April 23rd, 2016

I initially found TI89.com through the education.ti.com website because I was looking for an app which could help me understand Calculus equation better.

I initially bought the Calculus made easy 2 years ago and was just very fascinated how much this app helped me understand calculus problems better. If it wouldn’t have been for Calculus Made Easy I probably would have never passed Calculus I and II. Everything was very detailed and laid out in steps which makes it easy to follow.

Now several years later I own 5 of the TI89 apps apps made easy and I couldn’t be happier.

Statistics & Probability has been one of the hardest classes so far for me and I wished I would have bought the app sooner because it definitely helps seeing the equations before solving it.

The support I get from TI89.com has been phenomenal and I am never left in the dark with help in regards to questions.

Thanks so much for the support and developing this app because if it wouldn’t have been for TI89.com I probably would have struggled through most of my math studies.

How to perform a Z-Test Step by Step on the TI 89 using Statistics Made Easy

Wednesday, April 6th, 2016

Here is a sample problem:
A student who works in the blood lab plans to test the hypothesis that the mean cholesterol level of men is less than 230 mg/dL. The population variance of cholesterol level is assumed to be (40 mg/dL)^2. The student tested nine men for cholesterol levels
and found the following values (mg/dL): 164, 230, 335, 272, 261, 248, 235, 192, and 203.

Since we are given the variance , we use the Z-Test.
Since we are given the data, we may just enter them in the 2. row using list notation {..} .

Next just press enter to view everything you need: test statistic, p-value, conclusion, even type 2 error and power of test can be found.

Very easy to use, yet very powerful!

How to solve a Bernoulli Equation using Differential Equations Made Easy with the TI 89

Tuesday, April 5th, 2016

To solve x*(dy/dx) + y = 1/y^2 there are several options to do so.

F1 G : Bernoulli or F1 A : Linear in y or F1 D: N*y’+M=0 , try them all to get the same
solution in different ways.

To use the F1 G : Bernoulli , first rewrite x*(dy/dx) + y = 1/y^2
as (dy/dx) + y/x = 1/x * 1/y^2
Thus enter P=1/x and Q=1/x and n=-2

Press ENTER many times to observe how the proper substitution and integrating factor is found :

How to solve 1. order Differential Equations using Differential Equations Made Easy with a TI89

Tuesday, April 5th, 2016

How to solve the 1. order Diff Eqn: (3y+2t-2)dt + (10y+3t-1) dy = 0 with y(-1)=2

Just replace every t by x and enter the D.E. and initial conditions under F1 C as shown.

To view more steps on how to solve an exact Diff Eqn enter it
under F1 6 .

Voila!!