Write the degree of the differential equation $straight x cubed open parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction close parentheses squared space plus space open parentheses dy over dx close parentheses to the power of 4 space equals space 0$

Solution

straight x cubed open parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction close parentheses squared plus open parentheses dy over dx close parentheses to the power of 4 space equals space 0

We know that the degree of a differential equation is the highest power (exponent) of the highest order derivative in it.
The highest order derivative present in the given differential equation is

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

Its power is 2. So, the degree of the given differential equation is 2.

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Differential Equations

Write the degree of the differential equation $straight x cubed open parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction close parentheses squared space plus space open parentheses dy over dx close parentheses to the power of 4 space equals space 0$

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