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  "body": "\n## Summary\n\nA linear equation with constant coefficients is a linear differential equation $y^{(n)} + a_{n-1} y^{(n-1)} + \\dots + a_0 y = b(x)$ with real constants $a_0, \\dots, a_{n-1}$.\nThe roots of its characteristic polynomial give all solutions of the homogeneous equation. See the [[definition|0A6PGTTP2A]].\n",
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