Question

Pers diffens ial terpisah

1. dy/dx = (y² + xy²) / x^4
mohon bantuannya kk

Answer 1

Dy/dx = (y^2 + xy^2)/x^4
dy/dx = y^2/x^4 + y^2/x^3
dy/dx = y^2((1/x^4 + 1/x^3)
(1/y^2) dy = (1/x^4 + 1/x^3) dx
y^(-2) dy = x^(-4) + x^(-3) dx
∫ y^(-2) dy = ∫x^(-4) + x^(-3) dx
-y = -(1/3)x^(-3) - (1/2)x^(-2) + C
-y = -1/(3x^3) - 1/(2x^2) + C
y = 1/(3x^3) + 1/(2x^2) + C

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