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

Q1.    Indicate Order and Degree.

            (ii)    \left(\frac{dy}{dx} \right )^3 - 4\left(\frac{dy}{dx} \right )^2 + 7y = \sin x

Answers (1)

best_answer

Given function is
\left(\frac{dy}{dx} \right )^3 - 4\left(\frac{dy}{dx} \right )^2 + 7y = \sin x
We can rewrite it as
(y')^3-4(y')^2+7y=\sin x
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  1
Now, the given differential equation is a polynomial equation in it's derivatives  y 'and power raised to y ' is 3
Therefore, it's  degree is 3

Posted by

Gautam harsolia

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