Q. 255.0( 1 Vote )
Determine the order and degree of each of the following differential equations. State also whether they are linear or non-linear.
The order is the highest numbered derivative in the equation with no negative or fractional power of the dependent variable and its derivatives, while the degree is the highest power to which a derivative is raised.
Concept of the question
For the degree to be defined of any differential equation the euqtion must be expressible in the form of a polynomial.
But, in this question the degree of the differential equation is not defined because the term on the right hand side is not expressible in the form of a polynomial.
Thus, the order of the above equation is 2 whereas the degree is not defined.
Since the degree of the equation is not defined the equation is non-linear.
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