Differential Equations
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
The order and degree of $\dfrac{d^2 y}{dx^2} = \sqrt{1 + \left(\dfrac{dy}{dx}\right)^3}$ are respectively:
(a) $2, 2$
(b) $2, 3$
(c) $2, 1$
(d) $1, 2$
Step-by-Step Solution
Square both sides: (d^2y/dx^2)^2 = 1 + (dy/dx)^3 => Order 2, Degree 2. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $2, 2$: 1.0 Mark
Correct Answer: $2, 2$
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