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Let (dy)/(dx) = (y phi'(x)-y^(2))/(phi(x...

Let `(dy)/(dx) = (y phi'(x)-y^(2))/(phi(x))`, where `phi(x)` is a function satisfies `phi(1) = 1, phi(4) = 1296`. If y(1) = 1 then y(4) is equal to__________

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To solve the differential equation given by \[ \frac{dy}{dx} = \frac{y \phi'(x) - y^2}{\phi(x)}, \] where \(\phi(x)\) satisfies \(\phi(1) = 1\) and \(\phi(4) = 1296\), and given that \(y(1) = 1\), we need to find \(y(4)\). ...
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