Advanced Math Archive: Questions from December 24, 2022
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3. Find \( \frac{\partial u}{\partial x} \) where \( u=\cos (\sqrt{x}+\sqrt{y}) \) a) \( \frac{-1}{2 \sqrt{x}} \times \tan (\sqrt{x}+\sqrt{y}) \) b) \( \frac{-1}{2 \sqrt{x}} \times \cos (\sqrt{x}+\sqr2 answers -
Find Green's function for \[ y^{\prime \prime} \cos ^{2} x-y^{\prime} \sin 2 x=f(x), \quad y(0)=y^{\prime}(0), \quad y(\pi / 4)+y^{\prime}(\pi / 4)=0 \]2 answers