Archive for May, 2016

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)

Just add the two solutions.

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