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Choose the correct option from the given alternatives: The solution of xdydxx1x⋅dydx=tan-1x is - Mathematics and Statistics

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Question

Choose the correct option from the given alternatives:

The solution of `1/"x" * "dy"/"dx" = tan^-1 "x"` is

Options

  • `("x"^2 tan^-1 "x")/2 + "c" = 0`

  • x tan-1 x + c = 0

  • x - tan-1 x = c 

  • y = `("x"^2 tan^-1 "x")/2 - 1/2 ("x" - tan^-1 "x") + "c"`

MCQ
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Solution

y = `("x"^2 tan^-1 "x")/2 - 1/2 ("x" - tan^-1 "x") + "c"`

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Chapter 6: Differential Equations - Miscellaneous exercise 1 [Page 215]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
Chapter 6 Differential Equations
Miscellaneous exercise 1 | Q 1.06 | Page 215

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