The order of the differential equation whose general solution is given by
$y = (C_{1} + C_{2}) sin (x + C_{3}) - C_{4} e^{x + C_{5}}$ is

5

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4

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2

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3

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Solution

The correct option is A $5$
We need to find the order of the differential equation whose general solution is given by $y = (C_{1} + C_{2}) s i n (x + C_{3}) - C_{4} e^{x + C_{5}}$

We know that, Order of the Differential equation $=$ Number of constants.

Here $C_{1}, C_{2}, C_{3}, C_{4}, C_{5}$ are five constants.

Thus the order of the differential equation is $5$ .

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