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演習問題

1. 次の微分方程式の一般解を求めよ．
\begin{displaymath}\begin{array}{ll} (a) (x - y^{2})dx + 2xydy = 0 & (b) (5x... ...& (d) (2x + \tan{y})dx + (x - x^{2}\tan{y})dy = 0 \end{array}\end{displaymath}
2. 次の微分方程式を解け．
\begin{displaymath}\begin{array}{ll} (a) (2y^{2} - xy)dx + (2x^{2} - 3xy)dy = ... ...(b) (y^{4} + 2x^{3}y)dx - (x^{4} + 2xy^{3})dy = 0 \end{array}\end{displaymath}