Order and Degree of differential equation with example

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The order is the highest numbered derivative in the equation, while the degree is the highest power to which a derivative is raised. For example: y''+y'=y is a first degree second order differential equation, while (y')^2=y is a second degree first order differential equation

The order of a differential equation is the order of the highest order derivative involved in the differential equation. The degree of a differential equation is the exponent of the highest order derivative involved in the differential equation when the differential equation satisfies the following conditions –

All of the derivatives in the equation are free from fractional powers, positive as well as negative if any.
There is no involvement of the derivatives in any fraction.
There shouldn’t be involvement of highest order derivative as a transcendental function, trigonometric or exponential, etc. The coefficient of any term containing the highest order derivative should just be a function of x, y, or some lower order derivative.

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