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Questions  >>  CBSE XII  >>  Math  >>  Relations and Functions
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Q)

Determine the order and degree in the differential equation. Also state if it is a linear or non linear.
$y +\frac{dy}{dx} = \frac{1}{4} \int y dx $


$(A)\; Order \;2, degree\; 2$
$(B)\; Order \; 2 \; , degree \; 1$
$(C)\; Order \; 1 , degree \; 2$
$(D)\; Order \; 1 \; , degree \; 1$

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A)
Given : $y + \frac{dy}{dx} = \frac{1}{4} \int y dx$
differentiating w.r.t $x$
$\frac{dy}{dx} + \frac{d^2y}{dx^2} = \frac{1}{4} . y$
This is a linear differential equation of order 2 and degree 1.
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