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(B) The given general solution is $y = C_1 e^{2x + C_2} + C_3 e^x + C_4 \sin(x + C_5)$.We can simplify the expression as follows:$y = C_1 e^{C_2} e^{2

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$4$

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(B) The given general solution is $y = C_1 e^{2x + C_2} + C_3 e^x + C_4 \sin(x + C_5)$.We can simplify the expression as follows:$y = C_1 e^{C_2} e^{2x} + C_3 e^x + C_4 (\sin x \cos C_5 + \cos x \sin C_5)$Let $A = C_1 e^{C_2}$,$B = C_4 \cos C_5$,and $D = C_4 \sin C_5$.Substituting these constants,we get:$y = A e^{2x} + C_3 e^x + B \sin x + D \cos x$In this expression,there are $4$ independent arbitrary constants $(A, C_3, B, D)$.The order of a differential equation is equal to the number of independent arbitrary constants present in its general solution.Therefore,the order of the differential equation is $4$.

The order of the differential equation whose general solution is given by $y = C_1 e^{2x + C_2} + C_3 e^x + C_4 \sin(x + C_5)$ is

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