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Vector Algebra

Question

Determine order and degree (if defined) of differential equations:
$fraction numerator straight d squared straight y over denominator dx squared end fraction equals cos space 3 straight x plus space sin space 3 straight x$

Solution

The given differential equation is

fraction numerator straight d squared straight y over denominator dx squared end fraction space equals space cos 3 straight x space plus space sin 3 straight x

The highest order derivative present in the given differential equation is

fraction numerator straight d squared straight y over denominator dx squared end fraction

and index of its highest power is 1.
∴ the given differential equation is of order is 2 and degree 1.