Other Math Archive: Questions from July 15, 2023
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solve by homogenous equations
Example: \[ \begin{array}{l} (x+y) d x-(x-y) d y=0 \\ \frac{y}{x} \cos \frac{y}{x} d x-\left(\frac{x}{y} \sin \frac{y}{x}+\cos \frac{y}{x}\right) d y=0 \\ x y^{\prime}-y-x \sin \frac{y}{x}=0 \end{arra2 answers -
If \( y^{\prime \prime}=\frac{1}{(x+1)^{2}}, y(0)=2, y^{\prime}(0)=1 \) then \( y^{\prime}=\quad \) and \( y= \)2 answers -
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