Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:
The order and degree of the differential equation \(\frac{\left[1+\left(\frac{dy}{dx}\right)^{2}\right]^{\frac{3}{2}}}{\frac{d^{2}y}{dx^{2}}}=10\) are
Options:
\(2,2\)
\(2,6\)
\(2,3\)
\(1,6\)
Correct Answer:
\(2,2\)
Explanation:
Given equation can be written as \(\left[1+\left(\frac{dy}{dx}\right)^{2}\right]^{3}=100\left(\frac{d^{2}y}{dx^{2}}\right)^{2}\)