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The solution of (dv)/(dt)+k/m v=-g is...

The solution of `(dv)/(dt)+k/m v=-g` is

A

`v=ce^(-(k)/(m)t)-(mg)/(k)`

B

`v=c-(mg)/(k)e^(-(k)/(m)l)`

C

`ve^(-(k)/(m)t)=c-(mg)/(k)`

D

`ve^((k)/(m)t)=c-(mg)/(k)`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. The solution of the differential equation y(dy)/(dx)=x-1 satisfying y(...

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  2. The differential equation of the family of circles of fixed radius r a...

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  3. The solution of (dv)/(dt)+k/m v=-g is

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  4. ydx-xdy+3x^(2)y^(2)e^(x^(3))dx=0

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  5. The curve for which the length of the normal is equal to the length ...

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  6. The family of curves represented by (dy)/(dx) = (x^(2)+x+1)/(y^(2)+y+1...

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  7. The form of the differential equation of the central conics, is

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  8. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

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  9. The solution of differential equation (dy)/(dx)+(2xy)/(1+x^(2))=(1)/(1...

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  10. The equation of the curve through the point (1,0) which satisfies the ...

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  11. The differential equation of family of curves x^(2)+y^(2)-2ax=0, is

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  12. The solution of the differential equation (dy)/(dx)-(tany)/(x)=(tany...

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  13. The solution of (dy)/(dx)+2y tanx=sinx, is

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  14. Solve the each of the following differential equation: (dy)/(dx)+y/...

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  15. Solve the differential equation: (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx...

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  16. Solution of x(dy)/(dx)+y=xe^(x), is

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  17. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

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  18. The integrating factor of the differential equation (dy)/(dx) + y = (1...

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  19. The degree of the differential equation corresponding to the family of...

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  20. The degree of the differential equation of all curves having normal of...

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