A differential equation is a mathematical expression that relates a function to its derivatives. It describes how a quantity changes with respect to another variable. Differential equations are classified into ordinary and partial types and are used to model real-life phenomena such as motion, growth, and heat distribution.
Class 12 Maths Chapter 9 on Differential Equations explores the relationship between a function and its derivatives. It covers techniques for solving first-order and higher-order differential equations. Applications include modeling motion population growth and other real-world phenomena. This chapter is vital for the CBSE Exam 2024-25 and enhances problem-solving skills.
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Among the given options, the differential equation
y′ y″ + y = sin x
is the only one that involves the second derivative (y″), making it a second order differential equation.
Thus, the correct answer is: y′ y″ + y = sin x
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