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Question

The number of arbitrary constants in the general solution of yd2ydx2+(dydx)2=sin x is .

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is B 2
The general solution of a differential equation will have as many arbitrary constants as the order of the differential equation. Order of the given differential equation is 2, becuase d2ydx2 is the highest differential appearing in the equation. So the number of arbitrary constants is 2.

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