Re: [理工] [工數] 一階ODE
※ 引述《monkps ()》之銘言:
: y'+y=x/y
: 沒頭緒...
: 給我一點提示就好 XD
1-(-1) 2
z = y = y
z'
z' = 2yy' , y' = ──
2y
z' x
─── + y = ── 同乘 2y
2y y
z' + 2z = 2x
-2x -2x 2x 1 2x
z = c1 e + e { x e - ── e }
2
-2x 1
= c1 e + {x - ──}
2
2 -2x 1
y = c1 e + x - ──
2
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