-307 order and whether or not it is linear

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The discussion centers on determining the order and linearity of the differential equation $$x^2 \frac{{d}^{2}y}{dx^2}+x\frac{dy}{dx}+2y=\sin\left({x}\right)$$. It is established that this is a second-order differential equation. However, it is classified as linear because it can be expressed as a linear combination of its derivatives, which is a defining characteristic of linear differential equations.

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Determine the order and whether or not the equation is linear.
$$x^2 \frac{{d}^{2}y}{dx^2}+x\frac{dy}{dx}+2y=\sin\left({x}\right)$$
My quess is this 2nd order, but the ans says it is linear not sure why.
 
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A DE that is written as a linear combination of its derivatives (in other words, a SUM of its derivatives) is a linear DE.
 

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