# For each of the differential equations given below,indicate its order and degree(if defined) $(ii)\;\big(\large\frac{dy}{dx}\big)^3-4\big(\large\frac{dy}{dx}\big)^2+7y=\sin x$

This is second part of multipart q1

Toolbox:
• If the highest order derivative present in the differential equation is $\large\frac{dy}{dx}$,then it is of order 1.
• If the highest order present in the differential equation is $\large\frac{d^ny}{dx^n}$ then the order is n.
• The highest power raised to the highest order determines the degree of the equation.
Step 1:
In this given problem ,the highest order derivative present in the differential equation is $\large\frac{dy}{dx}$.Hence the order is 1.
Step 2:
It is a polynomial equation in $y'$ and the highest power raised to $\large\frac{dy}{dx}$ is 1.So its degree is 1.