Question

what is the order of the differential equation given by dy/dx+4y=sinx
a.1
b.0
C.0.5
d.2​

Answer 1

example

Ordinary Differential Equations Questions and Answers – First Order First Degree Differential Equations

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This set of Ordinary Differential Equations Multiple Choice Questions & Answers (MCQs) focuses on “First Order First Degree Differential Equations”.

1. What is the order of the differential equation given by \(\frac{dy}{dx} + 4y = sin x\)?

a) 0.5

b) 1

c) 2

answer

Answer: b

Explanation: Since the order of a differential equation is defined as the order of the highest derivative occurring in the differential equation, i.e for nth derivative dnydxn if n=1.

It has order 1→ differential equation contains only dydx derivative with variables and constants.

Answer 2

Answer:

Option (a) 1 is the order of the differential equation

Step-by-step explanation:

Explanation:

Given , $\frac{dy}{dx}+4y = sin x$

The order of a differential equation is defined to be that of the highest

order derivative it  contains . The degree of a differential equation  is

is defines as the power to which the highest order derivative is raised .

Final answer :

Hence , Option (a)which is 1 the order of the given differential equation .

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