Solves an n-dimension linear system of differential equations with a given start condition. The solution is based on the determination of the eigenvalues and eigenvectors of the underlying matrix. The solution is given in symbolic form. Details
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A is the n by n matrix describing the linear system. |
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X0 is the n vector describing the start condition.
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formula is a string with the solution of the linear system in the standard formula notation of LabVIEW. The solution vector elements are separated by carriage return. |
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errors are produced by using the wrong inputs X, X0, and F(X,t). |
![]() | Note This VI works properly for almost all cases of real matrices A that can have repeated eigenvalues, conjugate complex eigenvalues, and so on. The exception is the case of a singular eigenvector matrix, that is, a matrix in which the eigenvectors do not span the whole space. An error of -23016 is given if the eigenvector matrix is singular. |
The linear differential equation described by the following system:
with
has the solution
+ 1.62*exp(12.46*t) 1.28*exp(6.30*t) + 0.63*exp(1.34*t) + 0.04*exp(5.42*t)
+ 0.84*exp(12.46*t) 0.29*exp(6.30*t) + 1.51*exp(1.34*t) 0.06*exp(5.42*t)
0.73*exp(12.46*t) + 0.01*exp(6.30*t) + 3.69*exp(1.34*t) + 0.02*exp(5.42*t)
+ 0.87*exp(12.46*t) + 2.67*exp(6.30*t) + 0.45*exp(1.34*t) + 0.01*exp(5.42*t)
Enter the equations above on the front panel as follows: