Tag: differential

Differential Equations Solver – Ti-Nspire CX Calculator

Solve Differential Equations – Step by Step – using your Ti-Nspire CX CAS Calculator.

Download & Information: https://www.tinspireapps.com/?a=DEQME

Example: Solve below’s 2. Order Homogeneous Differential Equation

See below how to solve this Differential Equation using the Ti-Nspire Calculator:

  1. Select option 6 under 2. order D.E.:

Next, enter the D.E. and Initial Conditions as shown below, the step by step solution will show automatically

The Tinspire APP allows to solve the following type of Differential Equations:

  • First, Second and higher order Differential Equations.
  • Includes Slope Fields, Euler method, Runge Kutta, Wronskian, LaPlace transform, system of Differential Equations, Bernoulli DE, (non) homogeneous linear systems with constant coefficient, Exact DE, shows Integrating Factors, Separable DE and much more.
  • Ideal for quick review and homework check in Differential Equation/Calculus classes.
  • Easy to use.
  • Step by Step – Bernoulli Differential Equation
  • Step by Step – Exact Differential Equation
  • Step by Step – Non-Exact DE with Integrating Factor
  • Step by Step – Homogeneous 1. Order Differential Equation
  • Step by Step – Initial Value Problem Solver for 2. Order Differential Equations with non matching independent variables (Ex: y'(0)=0, y(1)=0 )
  • Step by Step – Inverse LaPlace for Partial Fractions and linear numerators.
  • Step by Step – LaPlace Transform
  • Laplace Transform of Unit Step and Heavyside Functions
  • Step by Step – Eigenvalue and Eigenvectors.
  • Step by Step – Variation of Parameter (for 1. and 2. order Diff. Eqn’s)
  • Step by Step – Method of Undetermined Coefficients
  • Step by Step – Wronskian to check Independence of Functions
  • Step by Step – Wronskian to find Coefficients
  • Step by Step – Cauchy-Euler D.E. of order 2 and 3.
  • Step by Step – Logistic Equation
  • Step by Step – Differential Equation Linear in x or in y (even using VOP).
  • Solve any Rate problem.
  • Solve RL-Circuits
  • Vibrating Springs

FUNCTIONALITY & MENU ITEMS OF APP

  • 1. ORDER DEQ
  • Solve any 1. order D.E.
  • Solve any 1. order D.E. (dy/dx)
  • Separation of Variables
  • Homogenous Diff Eqn (u=y/x)
  • Solution Checker
  • Exact Differential Equation
  • Non-Exact Differential Equation
  • M(x,y)dx+N(x,y)dy=0
  • N(x,y)y’+M(x,y)=0
  • Linear in x Differential Equation
  • Linear in y Differential Equation
  • RL Circuits
  • Logistic Differential Equation
  • Bernoulli Equation
  • Euler Method
  • Runge Kutta4
  • Midpoint method (order2)
  • Runge Kutta23
  • 2. ORDER DEQ
  • Solve any 2. order D.E.
  • Solve any 2. order D.E.(y”(x))
  • Check Solution of any 2. order Differential Equation
  • Find Solution given Auxiliary Equation
  • Homogeneous Differential Equation
  • Non-Homogeneous Differential Equation
  • Undetermined Coefficients
  • Variation of Parameter
  • Reduction of Order
  • Initial Value Problem Solver: [x0,y0]
  • Find Coefficients using Wronskian
  • Legendre Differential Equation
  • Bessel Differential Equation
  • Cauchy Euler Differential Equation
  • Vibrating Spring
  • RCL Circuits
  • HIGHER ORDER DEQ
  • Linear Homogeneous 3. Order DEQ
  • Check Given Solution to 3. Order DEQ
  • Linear Homogeneous 4. Order DEQ
  • Check Given Solution to 4. Order DEQ
  • Linear Homogeneous 5. Order DEQ
  • Check Given Solution to 5. Order DEQ
  • Find Solution given Auxiliary Equation
  • 3. Order Homogeneous Cauchy-Euler DEQ
  • 3. Order NonHomogeneous Cauchy-Euler DEQ
  • System of DEQ’s: X’=A*X
  • System of DEQ’S: X’=A*X+F
  • Classify Nodes and Saddle Points
  • Classify Stability of Fixed Points
  • State Space to Transfer Function Conversion
  • TRANSFORMS
  • Solve 2. order Differential Equation using Laplace Transforms
  • Find Transfer Function via Laplace Transforms
  • Solve 3. order Differential Equation using Laplace Transforms
  • Solve Integral Equation using Laplace Transforms
  • Laplace Transform – Step by Step
  • Laplace Transform of Piecewise Defined Functions
  • Laplace Transform of Dirac Delta
  • Laplace Transform of Unit Step
  • Laplace Transform over given Interval
  • Laplace Transform and RLC Circuit Analysis
  • Table of Laplace Transforms
  • Laplace Transform of Unit Step and Heavyside Functions
  • Inverse Laplace Transform
  • Inverse Laplace and Partial Fractions
  • Table of Laplace Transforms
  • Fourier Transform – Step by Step
  • Fourier Transform – Basic Signals
  • Fourier Transform – Unit Step Function
  • Inverse Fourier Transform – Step by Step
  • Table of Fourier Transforms
  • Table of Z-Transforms
  • Z-Transforms
  • Z-Transform of u(n), a^n*u(n), n*a^n*u(n)
  • Z-Transform of δ(n), -a^n*u(-n-1), a^n*u(n)+b^n*u(-n-1)
  • Inverse Z-Transforms
  • Usual Fourier Series of Function over [-pi,pi]
  • Fourier Series of Function over [a,b]
  • Fourier Series of Function with 2 Pieces
  • Fourier Series of Function with 3 Pieces
  • EXTRAS
  • Beta Function
  • Gamma Function
  • Find EigenValues & EigenVectors
  • Find Wronskian
  • Orthogonal Trajectories
  • Find Partial Fractions
  • Solve Rate Problems
  • Convert 3D Coordinates
  • Convert Degree <-> Radian