The solution of the differential equation 2x ( dy dx )-y=4 represents a family of

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Accepted Answer

Correct answer: B. (b) Given differential equation is 2x dy dx-y=4 dy dx- ( y2x )= ( 42x ) IF=e^ -12x dx=e^ log ⁡x-2= 1 x Solution ofD .E . , y ( IF )= Q (x ) ( IF ) dx+c ( 1 xy )= 2x x dx ⇒ y x=2 ( x^- 32+1 -32+1 )+C y x=2 ( x^- 12- 12 )+Cy=C x-4 ⇒ (y+4 )^2=C^2x This equation represents a parabola.

$The solution of the differential equation 2 x (\frac{dy}{dx}) - y = 4 represents a family of$

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