The family of curves `y = e^(a sinx) ` where a is an arbitrary constant , is represented by the differential equationA. ` y sin x= C + soin 2x`B. ` y cos x = C +1/2 sin 2x`C. ` y cos x = C - sin 2x`D. ` y cos x = C +1/2 cos 2x`

The family of curves `y = e^(a sinx) ` where a is an arbitrary constan

1.	The family of curves `y = e^(a sinx) ` where a is an arbitrary constant , is represented by the differential equationA. ` y sin x= C + soin 2x`B. ` y cos x = C +1/2 sin 2x`C. ` y cos x = C - sin 2x`D. ` y cos x = C +1/2 cos 2x`
Answer» Correct Answer - d Given , `(dy)/(dx) - y tan x = -2 sin x` ` :. IF = e^( - int tanx dx) cos x ` ` :.` Solution is ` y (cos x ) = int -2 sin 2x dx +C` ` rArr y cos x = (cos 2x)/2 + C`

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The family of curves `y = e^(a sinx) ` where a is an arbitrary constant , is represented by the differential equationA. ` y sin x= C + soin 2x`B. ` y cos x = C +1/2 sin 2x`C. ` y cos x = C - sin 2x`D. ` y cos x = C +1/2 cos 2x`

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