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Differential Equations
NCERT Class 12
CBSE
Grade 12
Question:
The degree of the differential equation $\left(1 + \left(\dfrac{dy}{dx}\right)^2\right)^{3/2} = \dfrac{d^2 y}{dx^2}$ is: (a) $2$ (b) $3$ (c) $1$ (d) Not defined
Step-by-Step Solution
Squaring both sides: $(d^2y/dx^2)^2 \Rightarrow \text{Degree} = 2$. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Selecting degree $= 2$: 1.0 Mark
Correct Answer:$2$
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