Order and Linearity of a Differential Equation
The order of an ODE is the highest derivative present; the equation is linear when the unknown function and its derivatives appear only to the first power with coefficients depending on the independent variable alone. This classification determines which solution methods apply and how many arbitrary constants the general solution carries.
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The order of an ODE is the highest derivative present; the equation is linear when the unknown function and its derivatives appear only to the first power with coefficients depending on the independent variable alone. This classification determines which solution methods apply and how many arbitrary constants the general solution carries.
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