Calculus

Find the general solution of the DE. Write your solution explicitly. y'=(y^(2)+y^(2)cosx)^2

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  1. what, have you forgotten your algebra I?

    y' = (y^2 + y^2 cosx)^2
    y' = y^4 (1+cosx)^2
    y'/y^4 = (1+cosx)^2
    dy/y^4 = (1+cosx)^2 dx
    -1/3 y^-3 = 1/4 (6x+8sinx+sin2x) + c
    y = -∛(4/(3(6x+8sinx+sin2x) + c))

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