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The order of the differential equation w...

The order of the differential equation whose solution is given by `y = (c_(1) + c_(2)) cos (x + c_(3)) - c_(4) e^(x+c5) where `c_(1), c_(2), c_(3), c_(4), c_(5)`are arotrary constant -

A

5

B

4

C

3

D

2

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If c is parameter then the differential equation whose solution is y = c^(2) + (c )/(x) is

    A
    `y = x^(4) ((dy)/(dx)) - x ((dy)/(dx))^(2)`
    B
    `y = x^(4) ((dy)/(dx))^(2) + x (dy)/(dx)`
    C
    `y = x^(4) ((dy)/(dx))^(2) - x (dy)/(dx)`
    D
    `y = x^(4) ((d^(2) y)/(dx^(2))) -x (dy)/(dx)`

  • If c is a parameter, then the differential equation whose solution is y=c^(2)+(c )/(x) , is

    A
    `y=((dy)/(dx))^(2)-(d^(2)y)/(dx^(2))`
    B
    `y^(4)((dy)/(dx))^(2)-x(dy)/(dx)`
    C
    `y=((dy)/(dx))^(2)-x(dy)/(dx)`
    D
    `y=x(dy)/(dx)-2x^(2)(d^(2)y)/(dx^(2))`

  • The differential equation whose solution is y = ce^(-2x) , where c is an arbitrary constant, is

    A
    `(dy)/(dx) -y = 0`
    B
    `(dy)/(dx) + y = 0`
    C
    `(dy)/(dx) + 2y = 0`
    D
    `(dy)/(dx) - 2y = 0`

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    Find the order of the differential equation of the following faimily of curves where parameters are given in brackets . y=c(x-c)^(2),(c )

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