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Spherical rain drop evaporates at a rate...

Spherical rain drop evaporates at a rate proportional to its surface area. The differential equation corresponding to the rate of change of the radius of the rain drop if the constant of proportionality is `K >0` is (a) `( b ) (c) (d)(( e ) dy)/( f )(( g ) dt)( h ) (i)+K=0( j )` (k) (b) `( l ) (m) (n)(( o ) d r)/( p )(( q ) dt)( r ) (s)-K=0( t )` (u) (c) `( d ) (e) (f)(( g ) d r)/( h )(( i ) dt)( j ) (k)=K r (l)` (m) (d) None of these

A

`(dr)/(dt)+k=0`

B

`(dr)/(dt)-k=0`

C

`(dr)/(dt)-kr`

D

None of these

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ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
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  2. If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y...

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  3. A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(d...

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  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  16. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

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  18. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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