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Please solve RD Sharma Class 12 Chapter 21 Differential Equations Exercise Case Study Based Question (CSBQ) Question 1 Subquestion (iii) maths textbook solution.

Answers (1)

Answer: option(c)

Hint: Try to understand the given equation is whether of linear or non- linear or homogeneous.

Given: Differential equation in r and t

Solution: obtained differential equation  4 \pi r^{2} \frac{d r}{d t}=-\lambda

The above formed equation is of the order 1st. So, it is a first order differential equation.

It is of non – linear type and variable can be separated.

“So it is first order non- linear differential equation in variable separable form”.

Note: Linear equation is in the form of \frac{d y}{d x}+y=x \ldots

While homogeneous equation is having same degree.

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