Solve an nth order homogeneous linear differential equation with constant coefficients in symbolic form. Details
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A is the vector of coefficients of the different derivatives of a function x(t), starting with the coefficient of the lowest order term. The coefficient of the highest order derivative is assumed to be equal to 1.0 and does not need to be entered. |
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X0 is the vector of the start condition
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formula is the symbolic solution. |
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errors are produced by using the wrong inputs X, X0, and F(X,t). |
The general solution has the following form. Refer to the ODE Linear nth Order Numeric VI for more information.
with complex
and
But all inputs are real, and thus the solution also has this property. As a consequence, the symbolic solution is a linear combination of exp, sin-, and cos-functions with real coefficients.
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To solve the differential equation
x'' 3 x' + 2 x = 0
with the I.C. as with x(0) = 2 and x'(0) = 3
enter A = [2, 3] and X0 = [2, 3]