For each of the differential equations given below, indicate its order and degree (if defined).
$fraction numerator straight d squared straight y over denominator dx squared end fraction plus 5 straight x open parentheses dy over dx close parentheses squared minus 6 straight y space equals space log space straight x$

Solution

The given differential equation is

fraction numerator straight d squared straight y over denominator dx squared end fraction plus 5 straight x open parentheses dy over dx close parentheses squared minus 6 straight y space equals space logx

Since the order of the highest order derivative present in the given differential equation is 2. therefore, its order is 2, Also, index of the highest power of

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

is one, therefore, degree of the given differential equation is 1.

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Vector Algebra

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