Question

Solve the following separable first-order differential equations with boundary/initial conditions x \frac{d y}{d x}=\frac{1}{2}\left(y^{2}+9 y\right), \quad y(1)=1 \frac{d y}{d x}=\frac{2 x^{2}+1}{\sin 2 y}, \quad y(0)=1

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