Question

The order and degree of differential equation dy/dx + 5y= sin x is……………………
a) Fourth order, first degree
b) Third order, first degree
c) First order, fourth degree
d) First order, first degree. ​

Answer 1

Answer:

Third order, first degree

Answer 2

Answer:

The correct option is d) First order, first degree

Explanation:

Order of differential equation:  The order of a differential equation is defined as the highest order derivative present in the equation.

Degree of differential equation:  The degree of a differential equation is defined as the power of the highest order derivative present in the equation.

Given equation:

$\frac{dy}{dx} +5y=sin x$

Here, the highest order derivative is $\frac{dy}{dx}$, so the order of the differential equation is 1.

And the power of highest order derivative i.e.,  $\frac{dy}{dx}$ is 1, so the degree of the differential equation is also 1.

Hence, the correct option is d) First order, first degree. ​

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