MHT CET · Maths · Differential Equations
The rate of reduction of a persons assets is proportional to the square root of the existing assets. The assets reduced from 25 lakhs to 6.25 lakhs in 2 years. This rate of reduction of his assets will make him bankrupt in
- A 3 years
- B 5 years
- C 4 years
- D 6 years
Answer & Solution
Correct Answer
(C) 4 years
Step-by-step Solution
Detailed explanation
\(\frac{dA}{dt} = -k\sqrt{A}\) \(\int A^{-1/2} dA = \int -k dt \implies 2\sqrt{A} = -kt + C\)
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