Find the order of given differential equation:

$\left (\dfrac{d^{2}y}{dx^{2}} \right )^{4}+\int y\, dx=\cos x$

This is a part of 10-seconds challenge .

The answer is 3.

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Differentiate equation to form the differential equation

$4(\frac{d^{2}y}{dx^{2}})^{3}\frac{d^{3}y}{dx^{3}}+ y=-sinx$

Therefore, order is $\boxed{3}$ .