Share

# Determine Order and Degree(If Defined) of Differential Equation ((Ds)/(Dt))^4 + 3s (D^2s)/(Dt^2) = 0 - CBSE (Commerce) Class 12 - Mathematics

ConceptOrder and Degree of a Differential Equation

#### Question

Determine order and degree(if defined) of differential equation ((ds)/(dt))^4 + 3s  (d^2s)/(dt^2) = 0

#### Solution

((ds)/(dt))^4 + 3s  (d^2s)/(dt^2) = 0

The highest order derivative present in the given differential equation is (d^2s)/(dt)^2 . Therefore,

It is a polynomial equation in (d^2s)/(dt^2)and (ds)/(dt). The power raised to (d^2s)/(dt^2) is 1

Hence, its degree is one.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 9: Differential Equations
Q: 3 | Page no. 382

#### Video TutorialsVIEW ALL [3]

Solution Determine Order and Degree(If Defined) of Differential Equation ((Ds)/(Dt))^4 + 3s (D^2s)/(Dt^2) = 0` Concept: Order and Degree of a Differential Equation.
S