Question

what is the order of the differrntial equation given by dy/dx+4y=sinx? ​

Answer 1

Question :-

• What is the order of the differrntial equation given by dy/dx + 4y = sinx?

Answer

Given :-

A differential equation

$\bf \:\dfrac{dy}{dx} + 4y = sinx$

To find :-

• The order of differential equation.

Concept used :-

• Order of a differential equation is the order of the highest derivative (also known as differential coefficient) present in the equation.

Solution : -

The given differential equation is

$\bf \:\dfrac{dy}{dx} + 4y = sinx?$

In this equation, the order of the highest derivative is 1, hence, this is a first order differential equation.

Hence, order of differential equation is 1.