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

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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To find the real value of \( m \) for which the substitution \( y = u^m \) transforms the differential equation \[ 2x^4y \frac{dy}{dx} + y^4 = 4x^6 \] into a homogeneous equation, we will follow these steps: ...
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