Solve the separable differential equation 5 x 8 y ( x 2 1 ) 1 2 dydx 0 Subject to the initial condition y ( 0 ) 4 y

Question

Solve the separable differential equation 5 x 8 y ( x 2   1 )   1   2 dydx   0   Subject to the initial condition  y ( 0 )   4   y

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Solve the separable differential equation 5 x 8 y ( x 2 + 1 ) ^ 1 / 2 dydx = 0 . Subject to