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If the curve satisfying (xy^(4) + y)dx -...

If the curve satisfying `(xy^(4) + y)dx - xdy = 0` passes through (1,1) then the value `-41(y(2))^(3)` is _______

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To solve the differential equation given by \((xy^4 + y)dx - xdy = 0\) and find the value of \(-41(y(2))^3\), we will follow these steps: ### Step 1: Rewrite the Differential Equation We start with the equation: \[ (xy^4 + y)dx - xdy = 0 \] This can be rearranged to find \(\frac{dy}{dx}\): ...
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