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  • Indicate Order and Degree. Differential Equations Miscellaneous Exercise 1 (iii)

Q1.    Indicate Order and Degree.

            (iii)    \frac{d^4 y}{dx^4} - \sin\left(\frac{d^3y}{dx^3} \right ) = 0

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best_answer

Given function is
\frac{d^4 y}{dx^4} - \sin\left(\frac{d^3y}{dx^3} \right ) = 0
We can rewrite it as
y''''-\sin y''' = 0
Now, it is clear from the above that, the highest order derivative present in differential equation is  y''''

Therefore, order of given differential equation   is  4
Now, the given differential equation is not a polynomial equation in it's dervatives 
Therefore, it's  degree is not defined 

Posted by

Gautam harsolia

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