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  "body": "\n## Summary\n\nAn integrating factor is a function by which one multiplies a differential equation so that it can be integrated directly.\nFor the linear equation $y' + p y = q$, the factor $e^{\\int p}$ turns the left side into the derivative $\\left(e^{\\int p} y\\right)'$. See the [[definition|01THH3Y3YP]].\n",
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