Question:
The sum of the order and the degree of the differential equation \(\dfrac{d^2 y}{dx^2} + \left(\dfrac{dy}{dx}\right)^3 = \sin y\) is:
अवकल समीकरण \(\dfrac{d^2 y}{dx^2} + \left(\dfrac{dy}{dx}\right)^3 = \sin y\) की कोटि और घात का योग क्या है?
Options:
- 3
- 2
- 5
- 4
- 3
- 2
- 5
- 4
Correct Answer: c)
Explanation:
The differential equation is \(\dfrac{d^2y}{dx^2} + \left(\dfrac{dy}{dx}\right)^3 = \sin y\).
Order \(= 2\), Degree \(= 1\).
Sum of order and degree is 3, or option (c).
कोटि = 2, घात = 1। कोटि और घात का योग = 3 (विकल्प c)।