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3) Find the mean value of \(y=\frac{x}{x^{2}}+\frac{x^{4}}{\sqrt{2} x^{2}}-\frac{x}{2} e^{x^{2}}\) for \(0.5 \leq x \leq 1\).


4) Find the general solution of the following differential equation. 

$$ \frac{d y}{d x}=\frac{x^{2}}{49 y^{3}+x^{2} y^{3}} $$

5) Solve the following differential equation. 

$$ \frac{d^{2} y}{d x^{2}}=\frac{x}{(16+x)^{2}} $$

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