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The volume of spherical balloon being...

The volume of spherical balloon being inflated changes at a constant rate. If initially its radius is 3 units and after 3 seconds it is 6 units. Find the radius of balloon after t seconds.

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To find the radius of the balloon after \( t \) seconds, we can follow these steps: ### Step 1: Understand the volume of a sphere The volume \( V \) of a sphere is given by the formula: \[ V = \frac{4}{3} \pi r^3 \] where \( r \) is the radius of the sphere. ...
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NAGEEN PRAKASHAN ENGLISH-DIFFERENTIAL EQUATIONS-Exercise 9.4
  1. Find the general solution of the differential equations sec^2xtany dx...

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  2. The solution of the differential equation (e^x+e^(-x))dy-(e^x-e^(-x))d...

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  3. Find the general solution of the differential equations (dy)/(dx)=(1+...

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  4. Find the general solution of the differential equations y log y dx...

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  5. Find the general solution of the differential equations x^5(dy)/(dx)=...

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  6. Find the general solution of the differential equations (dy)/(dx)=sin...

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  7. Find the general solution of the differential equations e^xtanydx+(1-...

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  8. The differential equations, find a particular solution satisfying the...

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  9. For the differential equation, find a particular solution satisfying ...

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  10. The differential equations, find a particular solution satisfying the...

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  11. The differential equations, find a particular solution satisfying the...

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  12. Find the equation of a curve passing through the point (0, 0) and w...

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  13. For the differential equation x y(dy)/(dx)=(x+2)(y+2), find the solu...

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  14. Find the equation of the curve passing through the point (0, -2) gi...

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  15. At any point (x, y) of a curve, the slope of the tangent is twice t...

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  16. The volume of spherical balloon being inflated changes at a constan...

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  17. In a bank principal increases at the rate of r% per year. Find the ...

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  18. In a bank, principal increases continuously at the rate of 5% per yea...

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  19. In a culture, the bacteria count is 1,00,000. The number is increas...

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  20. The general solution of the differential equation (dy)/(dx)=e^(x+y)is...

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