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Find the real value of {m} for which the substitution {y}={u}^

Question

Find the real value of $m$ for which the substitution $y = u^{m}$ will transform the differential equation $2 x^{4} y \frac{d y}{d x} + y^{4} = 4 x^{6}$ in to a homogeneous equation.

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Find the real value of

m

for which the substitution

y = u^{m}

will transform the differential equation

2 x^{4} y \frac{d y}{d x} + y^{4} = 4 x^{6}

in to a homogeneous equation.

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Question Text

Find the real value of

m

for which the substitution

y = u^{m}

will transform the differential equation

2 x^{4} y \frac{d y}{d x} + y^{4} = 4 x^{6}

in to a homogeneous equation.

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