Solve the following Ordinary Differential Equations (ODE): $$ begin{array}{1} y^{prime}+y=x y^{3}. x y^{prime}+y=-2 x^{6} y^{4}....

 

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Solve the following Ordinary Differential Equations (ODE): $$ \begin{array}{1} y^{\prime}+y=x y^{3}. \\ x y^{\prime}+y=-2 x^{6} y^{4}. \\ y^{\prime}-\frac{1}{x} y=-\frac{y^{2}}{x}. \\ y^{\prime}+\frac{y}{2 x)=\frac{x}{y^{3}}; y(1)=2. \end{array} $$ $$ m_{n} \prime \prime \cdots-\left(m_{n}, ight)^{\frac{3}{n}} \ldots, (1)-1 $$ CS.VS.1402 Solve the following Ordinary Differential Equations (ODE): $$ \begin{array}{1} y^{\prime}+y=x y^{3}. \\ x y^{\prime}+y=-2 x^{6} y^{4}. \\ y^{\prime}-\frac{1}{x} y=-\frac{y^{2}}{x}. \\ y^{\prime}+\frac{y}{2 x)=\frac{x}{y^{3}}; y(1)=2. \end{array} $$ $$ m_{n} \prime \prime \cdots-\left(m_{n}, ight)^{\frac{3}{n}} \ldots, (1)-1 $$ CS.VS.1402