The order of the differential equation, whose general solution is $y = C_{1} e^{x} + C_{2} e^{2 x} + C_{3} e^{3 x} + C_{4} e^{x + c_{5}}$ ,where $C_{1}, C_{2}, C_{3}, C_{4}, C_{5}$ are arbitrary constants is

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none of these

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Solution

The correct option is B 4
$y = C_{1} e^{x} + C_{2} e^{2 x} + C_{3} e^{3 x} + C_{4} e^{x + C_{5}}$
There are $4$ constant so order should be $4$

Suggest Corrections

Similar questions

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The order of the differential equation whose general
solution is

$y = C_{1} e^{x} + C_{2} e^{2 x} + C_{3} e^{3 x} + C_{4} e^{x + C_{5}}$ where $C_{1}, C_{2}, C_{3}, C_{4}, C_{5}$ are arbitrary
constant is-

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