The Total solution for NCERT class 6-12
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Determine the orderand degree of the following differential equations. State also whether they arelinear or non-linear.
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The order of adifferential equation is the order of the highest order derivative appearing inthe equation.
The degree of adifferential equation is the degree of the highest order derivative.
Consider the givendifferential equation
In the above equation,the order of the highest order derivative is 1.
So the differentialequation is of order 1.
In the abovedifferential equation, the power of the highest order derivative is 3.
Hence, it is adifferential equation of degree 3.
Since the degree of the above differential equation is 3, morethan one, it is a non-linear differential equation.