# Get Answers to all your Questions

### Answers (1)

Order=1 , Degree=3 , Non-linear

Hint:

The order is the highest numbered derivative in the equation with no negative or fractional power of the dependent variable and its derivatives, while the degree is the highest power to which a derivative is raised.

Given:

$\left [ \frac{dy}{dx} \right ]^{2}+\frac{1}{\frac{dy}{dx}}=2$

Solution:

So, in this question, first we need to remove the term $\frac{1}{\frac{dy}{dx}}$ because this can be written as $\left (\frac{dy}{dx} \right )^{-1}$ which means a negative power.

So, the above equation becomes $\left [ \frac{dy}{dx} \right ]^{3}+1=2 \frac{dy}{dx}$

So, in this question, the order of the differential equation is 1 and the degree of the differential equation is 3.

In a differential equation, when the dependent variable and their derivatives are only multiplied by constant or independent variable, then the equation is linear.

So, in this question. The dependent variable is y and the term $\frac{dy}{dx}$ is multiplied by itself. So the given equation is non-linear.

Therefore, Order=1 , Degree=3 , Non-linear

View full answer

## Crack CUET with india's "Best Teachers"

• HD Video Lectures
• Unlimited Mock Tests
• Faculty Support