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In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years `(log_e^2=0. 6931)`

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To solve the problem, we need to find the value of \( r \) given that Rs. 100 doubles in 10 years with continuous compounding. ### Step-by-Step Solution: 1. **Understanding the Problem**: The principal amount \( P \) increases continuously at a rate of \( r\% \) per year. This means we can use the formula for continuous growth: \[ P(t) = P_0 e^{rt} ...
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NCERT-DIFFERENTIAL EQUATIONS-EXERCISE 9.4
  1. Find the general solution of the differential equations y log y dx – ...

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  2. Find the general solution of the differential equations sec^2xtany dx...

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  3. Find the general solution of the differential equations (e^x+e^(-x))d...

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  4. Find the general solution of the differential equations (dy)/(dx)=sqr...

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

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  6. Find the general solution of the differential equations (dy)/(dx)=(1-...

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  7. In a bank, principal increases continuously at the rate of r% per yea...

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

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

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  10. In a culture, the bacteria count is 1,00,000. The number is increased...

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  11. The volume of spherical balloon being inflated changes at a constant ...

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

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  13. Find the equation of a curve passing through the point (0, 0) and who...

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

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  15. Find the equation of a curve passing through the point (0, 2)given t...

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

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

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

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

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

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