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(1)

プチテスト (4 回めの授業)

通信欄 日付 2009-05-13

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次の微分方程式を解こう. 一般解 (とあれば特異解) をみつけよう.

(1) dy dx = 2x

y + y x . (2) (x

3

+ y

2

) dy

dx + 3x

2

y = 0 . (3) dy

dx = 2x

4

y + x

3

y

2

y

5

x

4

y x

2

y

3

.

(3) は間違いではないけど (不定積分の計算が) 難しすぎ. ごめんなさい. dy

dx = 2x

4

y + x

3

y

2

xy

4

x

4

y x

2

y

3

だったら計算は簡単で同次形のアイデアも伝わったのに (実施後追記).

参照

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