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Superposition Principle


The superposition principle for ordinary differential equations states that for a linear homogeneous ordinary differential equation, if y_1(x) and y_2(x) are solutions, then so is y_1(x)+y_2(x).


See also

Fourier Series, Harmonic Analysis, Ordinary Differential Equation

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References

Trott, M. "The Mathematica Guidebooks Additional Material: Wave Propagation on a Torus." http://www.mathematicaguidebooks.org/additions.shtml#N_1_13.

Referenced on Wolfram|Alpha

Superposition Principle

Cite this as:

Weisstein, Eric W. "Superposition Principle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SuperpositionPrinciple.html

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