Advanced Math Archive: Questions from December 31, 2022
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4) (Fundamental Theorem of Calculus) Find \( \frac{d y}{d x} \) if \( y=\left(\int_{0}^{\sin x} e^{t^{2}}+1 d t\right)^{3} \).2 answers -
solve please
8. \( x y^{\prime}+(1+x \cot x) y=0, y\left(\frac{\pi}{2}\right)=2 \) 9) \( y^{\prime}-\left(\frac{2 x}{1+x^{2}}\right) y=0, \quad y(0)=2 \)2 answers