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  "body": "\n## Summary\n\nA differential equation is an equation that relates an unknown [[function|0EPAT51DXQ]] to one or more of its derivatives.\nA solution is a function that makes the equation true at each point of its domain.\nIf the unknown function depends on one variable, the equation is an [[ordinary differential equation|0NT64JV96A]]. If it depends on several variables and the equation has partial derivatives, it is a partial differential equation.\n\n## Remarks\n\nThe [[order|0XK0G19SK8]] of a differential equation is the highest order of a derivative in it.\nThe equation $y' = y$ is a differential equation of order $1$. Its solutions are the functions $y(x) = C e^{x}$ with a constant $C$.\nDifferential equations describe how a quantity changes. Many laws of physics, biology and economics have this form.\n\n## Explanations\n\n### L1 human\n\nAn ordinary equation asks for a number, but a differential equation asks for a function.\nThe equation gives a rule for the rate of change of the function.\nFor example, $y' = y$ says that the function grows at a rate equal to its own value.\n",
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