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Provide solution for RD Sharma maths Class 12 Chapter 21 Differential Equations Exercise Case Study Based Question (CSBQ) Question 2 Subquestion (v) textbook solution.

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Answer: (a) P=1000 e^{0.5}

Hint: Substitute values in given equation & get the solution.


\begin{aligned} &P_{0}=1000 \\ &r=5 \% \\ &t=10 \text { years } \end{aligned}

Solution: we use the given data accordingly,

\begin{aligned} &\log \left(\frac{P}{P_{0}}\right)=\frac{r t}{100} \\ &\log \left(\frac{p}{1000}\right)=\frac{5 \times 10}{100} \\ &\log P-\log 1000=\frac{50}{100} \\ &\log \left(\frac{P}{1000}\right)=0.5 \end{aligned}

\begin{aligned} &\frac{P}{1000}=e^{0.5} \\ \\&\therefore P=1000 e^{0.5} \end{aligned}


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