Контрольная работа

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\[\begin{gathered}
y' + 3{y^2} = 3 \hfill \\
y(0) = \frac{1}{2} \hfill \\
\hfill \\
(3{x^2}{y^2} + 1)y' + 3x{y^2} = 0 \hfill \\
\hfill \\
xy' - y + 4{y^2} = 0 \hfill \\
\hfill \\
(1 + 2xy - {y^2})y' + {y^2} = 0 \hfill \\
\hfill \\
y' = \frac{y}{x} + 2{x^2} \hfill \\
\hfill \\
{y^2}{{y'}^2} + 2xyy' - {y^2} + 1 = 0 \hfill \\
\end{gathered} \]% MathType!End!2!1!