TiNspire CX CAS: Nonhomogeneous, Nonlinear Cauchy Euler 3. order Differential Equation

To solve a 3. order Cauchy Euler Differential that is Nonhomogeneous and NonLinear you would use the Differential Equations Made Easy at www.TiNspireApps.com and enter the coefficients of the Differential Equations as follows:

As can be seen, the substitution y=x^n allows us to find the zeros of the homogeneous Differential Equation and its solution below. Now, we are after the nonhomogenous solution which involves find the 4 Wronskians W, W1, W2, W3 using the Variation of Parameter method:

After finding the 3 v_i, their integration allows us to find the final solution

Puuh, that was a lot of work…If you want to skip watch all the steps you might just jump straight to the final solution.

Numerical Analysis App at www.TinspireApps.com for the TiNspire CX CAS – Step by Step – was updated to solve 2. order differential equations numerically

The Euler Method and Runge Kutta4 were added to numerically solve step by step 2. order differential equations.

Additionally, the following methods to solve 1. order Differential Equations were improved :

-Euler Method
-Heun Method
-Ralston Method
-Midpoint Method

Lastly the Lagrange Interpolation and Fix Point methods were improved upon

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