STATEMENT-1: $2 p^{3} - (2 x + 4 \sin x - \cos x) p^{2} - (x \cos x - 4 x \sin x + \sin 2 x) p + \sin 2 x = 0$
is a differential equation with a possible solution as
$(2 y - x^{2} - c) (y + 2 \cos x - c) (2 y + \sin x - c) = 0$ ; $[p = \frac{d y}{d x}]$
STATEMENT-2: Degree of differential equation is the power of the highest order derivative existing in the differential equation.

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Both the statements are true and Statement2 is not the correct explanation of statement1

statemen-1 is false and Statement 2 is true

Both the statements are true and Statement2 is correct explanation of statement1

Statement 1 is true and Statement 2 is false

answer is C.

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Detailed Solution

Differential equation can be written as, $(p - x) (p - 2 \sin x) (2 p + \cos x) = 0$ which has solution as $(2 y - x^{2} - c) (y + 2 \cos x - c) (2 y + \sin x - c) = 0$

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