Question
Write the differential equation obtained by eliminating the arbitrary constant Cin the equation representing the family of curves xy = C cos x
✓
Answer
On differentiating the given equation, we get
$x \frac{d y}{d x}+y=-C \sin x$
Eliminating Cusing above equation, we get
$x \frac{d y}{d x}+y+x y \tan x=0$
$x \frac{d y}{d x}+y=-C \sin x$
Eliminating Cusing above equation, we get
$x \frac{d y}{d x}+y+x y \tan x=0$
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