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CBSE Class 12 · 2023 · Differential EquationsMultiple Choice

Degree of the differential equation

sin x + cos (\frac{d y}{d x}) = y^{2}

is:

(A)2
(B)1
(C)not defined✓ Correct
(D)0

Answer: (C)

Solution

The order is

1

. However

\frac{d y}{d x}

occurs inside

cos (\cdot)

, so the equation cannot be written as a polynomial in the derivative.

degree is not defined

CBSE Class 12 Board · 2023 · Single correct option

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