Mathematics Differential Equations Solution of Differential Equations

The particular solution of the differential equation (y - x2y)dy = (1 - x3)dx with y(0) = 1, is:

1
y2 = x2 + 2 loge|1 + x| + 1
2
\(y^2=1+x^2+2 \log _{\mathrm{e}}\left|\frac{1+x}{2}\right|\)
3
y2 = x2 + 2x - 3
4
y2 = x2 + 2x + 1

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