10-seconds challenge-10

Calculus Level 4

Find the order of given differential equation:

( d 2 y d x 2 ) 4 + ∫ y d x = cos ⁡ x \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.

Yash Dev Lamba by Yash Dev Lamba , 23, India

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1 solution

Yash Dev Lamba
Mar 11, 2016

Differentiate equation to form the differential equation

4 ( d 2 y d x 2 ) 3 d 3 y d x 3 + y = − s i n x 4(\frac{d^{2}y}{dx^{2}})^{3}\frac{d^{3}y}{dx^{3}}+ y=-sinx

Therefore, order is 3 \boxed{3} .

11 Helpful 0 Interesting 1 Brilliant 0 Confused

Isn't that the degree?

sreekanth r - 5 years, 3 months ago

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It is also the degree

Krutarth Patel - 3 months, 4 weeks ago

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