The superposition principle for ordinary differential equations states that for a linear homogeneous ordinary differential
equation, if 
and 
are solutions, then so is 
.
Superposition Principle
See also
Fourier Series, Harmonic Analysis, Ordinary Differential EquationExplore with Wolfram|Alpha
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 PrincipleCite this as:
Weisstein, Eric W. "Superposition Principle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SuperpositionPrinciple.html