璇剧▼鍚嶇О锛?/p>
銆婇珮绛夋暟瀛?/p>
IIB
銆?/p>
浣滀笟锛氫富瑙傞
涓撲笟鍚嶇О锛氭満姊板埗閫犱笌鑷姩鍖?/p>
濮撳悕锛氭檹鍏夎儨
瀛﹀彿锛?/p>
15830187
绗竴娆′綔涓?/p>
11
銆?/p>
姹備笅鍒楀井绉垎鏂圭▼鐨勯�氳В
锛?/p>
1
锛?/p>
Xy
鈥?/p>
-ylny=0
瑙ｏ細鐢?/p>
Xy
鈥?/p>
-ylny=0
鍒嗙鍙橀噺寰楋細
dy/ylny=dx/x
涓よ竟绉垎寰楋細
ln
鈭?/p>
lny
鈭?/p>
=ln
鈭?/p>
x
鈭?/p>
+c
鎵�浠ラ�氳В锛?/p>
lny=cx
锛?/p>
2
锛?/p>
3x
2
+5x-5y
鈥?/p>
=0
瑙ｇ敱锛?/p>
3x
2
+5x-5y
鈥?/p>
=0
瑙ｅ緱锛?/p>
5dy/dx=3x
2
+5x
dy=(3/5x
2
+x)dx
y
鈥?/p>
=3/5x
2
+x
閫氳В锛?/p>
y=(1/5)x
3
+(1/2)x
2
+c
锛?/p>
3
锛?/p>
(y+1)
2
dy/dx+x
3
=0
瑙ｇ敱锛?/p>
(y+1)
2
dy/dx+x
3
=0
瑙ｅ緱閫氳В锛?/p>
1/3(y+1)
3
+1/4x
4
=c
12
銆?/p>
姹備笅鍒椾竴闃跺井鍒嗘柟绋嬬殑閫氳В
锛?/p>
1
锛?/p>
dy/dx+y=e
-x
瑙ｇ敱锛?/p>
dy/dx+y=e
-x
瑙ｅ緱锛?/p>
y=ce
-x
+xe
-x
锛?/p>
2
锛?/p>
xy
鈥?/p>
+y=x
2
+3x+2
瑙ｇ敱
: xy
鈥?/p>
+y=x
2
+3x+2
瑙ｅ緱
(xy
)鈥?/p>
=x
2
+3x+2
閫氳В
:y=c/x+(1/3)x
2
+(3/2)x+2
锛?/p>
3
锛?/p>
dy/dx+2xy=4x