Question

Family $y=Ax+A^3$ of curves represented by the differential equation of degree

• A. Three
• B. Two
• C. One
• D. None of these

Answer 1

The correct option is A

Three

Explanation for the correct option:

Step 1. Differentiate the given equation:

$y=Ax+A^3$

$\frac{dy}{dx}=A$

Step 2. Put the value of $\frac{dy}{dx}$ in the given equation:

$\therefore y=x\left(\frac{dy}{dx}\right)+{\left(\frac{dy}{dx}\right)}^3$

Thus, it is a degree $\mathbf{3}$ differential equation.

Hence, Option ‘A’ is Correct.