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Find the real value of m for which the s...

Find the real value of m for which the subsititution `y=u^(m)` will transform the differential equation `2x^(4)y(dy)/(dx) +y^(4)=4x^(6)` in to a homogenous equation.

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Find the real value of m for which the substitution y=u^m will transform the differential equation 2x^4y(dy)/(dx)+y^4=4x^6 in to a homogeneous equation.

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Knowledge Check

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

    A
    `e^(-x) (y - x+1) = c`
    B
    ` e^(-x) (x+y+1)=c`
    C
    `e^(x)(y+x+1)=c`
    D
    `e^(x) (y - x+1) = c`

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