The order of the differential equation of family of curves y-C 1 sin -1 x-C 2 cos -1 x-C 3 tan -1 x-C 4 -1 xwhere C 1 - C 2 - C 3 and C 4 are arbitrary constants is

The correct option is C 4 No. of arbitrary constant #160; t _ s =4 ∴ #160; #160; order =4 #160; #160;[C] ...

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Standard XII

Mathematics

Higher Order Derivatives

The order of ...

Question

The order of the differential equation of family of curves $y = C_{1} {sin}^{- 1} x + C_{2} {cos}^{- 1} x + C_{3} {tan}^{- 1} x + C_{4} {cot}^{- 1} x$
(where $C_{1}, C_{2}, C_{3}$ and $C_{4}$ are arbitrary constants) is

2

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3

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4

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None of these

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Solution

The correct option is C $4$
No. of arbitrary constant $t_{s} = 4$
$∴$ order $= 4$ [C]

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The order of the differential equation of family of curves y=C1sin−1x+C2cos−1x+C3tan−1x+C4cot−1x(where C1,C2,C3 and C4 are arbitrary constants) is

The correct option is C 4No. of arbitrary constant ts=4∴ order =4 [C]

The order of the differential equation of family of curves $y = C_{1} {sin}^{- 1} x + C_{2} {cos}^{- 1} x + C_{3} {tan}^{- 1} x + C_{4} {cot}^{- 1} x$
(where $C_{1}, C_{2}, C_{3}$ and $C_{4}$ are arbitrary constants) is

The correct option is C $4$
No. of arbitrary constant $t_{s} = 4$
$∴$ order $= 4$ [C]