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if (d^(3) y)/(dx^(3)) + y = root(3) (1 ...

if ` (d^(3) y)/(dx^(3)) + y = root(3) (1 + (dy)/(dx)) ` be a differential equation whose degree is n , then the value of n is -

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{ 1 + ((dy)/(dx))^(2)}^((3)/(2)) = a (d^(2)y)/(dx^(2)) be a differential equation whose degree is n, then the value of n is -

If e^((d^(3) y)/(dx^(3)))- 4x (dy)/(dx) = 0 be a differential equation whose order is k, find the value of k.

Knowledge Check

  • (d^(3) y)/(dx^(3)) + y= root (3) (1 + (dy)/(dx)) is a differential equation of degree-

    A
    1
    B
    2
    C
    4
    D
    3

  • The solution of the differential equation e^((dy)/(dx))=x+1 , when y(0)=3 , is -

    A
    `y=x log x-x+2`
    B
    `y=(x+1)log|x+1|-x+3`
    C
    `y=(x+1)log|x+1|+x+3`
    D
    `y=x log x+x+3 `

  • The solution of the differential equation (x+y)(dx-dy)=dx+dy is -

    A
    `log|x+y|=y-x+c`
    B
    `log|x+y|=x-y+c`
    C
    `log|x+y|=x+y+c`
    D
    `log|x+y|+x+y=c`

    • Similar Questions

    Explore conceptually related problems

    (dy)/(dx)+(3x^(2)tan^(-1)y-x^(3))(1+y^(2))=0 The differential equation has integrating factor-

    Solve the differential equation (x)dy = ( 1 + y^(2))dx .

    If order of 1 + ((dy)/(dx))^(5) = (d^(3) y)/(dx^(3)) be n, then n will be -

    dy/dx + n/x y = a/x^(n)

    The degree of the differential equation (d^3y)/(dx^3)+y=root(3)(1+(dy)/(dx)) is

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