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A homogeneous differential equation of ...

A homogeneous differential equation of the from `(dx)/(dy)=h(x/y)`can be solved by making the substitution.(A) `y = v x` (B) `v = y x` (C) `x = v y` (D) `x = v`

A

`y=vx`

B

`v=yx`

C

`x=vy`

D

`x=v`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The differential equation (dy)/(dx)=(x+y-1)/(x+y+1) reduces to variable separable form by making the substitution

    A
    `x+y=v`
    B
    `x-y=v`
    C
    `y=vx`
    D
    `x=vy`

  • The differential equation (dy)/(dx)=(7x-3y-7)/(-3x+7y+3) reduces to homogeneous form by making the substitution

    A
    `x=X+1, y=Y+0`
    B
    `x=X+1,y=Y+1`
    C
    `x=X-1, y=Y+1`
    D
    `x=X+0, y=Y+1`

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