# Find the order of the differential $$\left (\frac{d^2 y}{dx^3}\right )^3+5$$ cos⁡x-sin⁡x=0

Category: QuestionsFind the order of the differential $$\left (\frac{d^2 y}{dx^3}\right )^3+5$$ cos⁡x-sin⁡x=0
Editor">Editor Staff asked 11 months ago

Find the order of the differential $$\left (\frac{d^2 y}{dx^3}\right )^3+5$$ cos⁡x-sin⁡x=0

(a) 3

(b) 2

(c) 1

(d) 4

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My doubt stems from Differential Equations Basics-2 topic in section Differential Equations of Mathematics – Class 12
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Easiest explanation: In the differential equation $$\left (\frac{d^2 y}{dx^3}\right )^3+5$$ cos⁡x-sin⁡x=0, the highest order derivative is $$\frac{d^2 y}{dx^2}$$. Therefore, the order of the differential equation is 2.