[理工] [工數]-高階ODE
1.
2 2
yy'' - (y') - y y' = 0
答案
c1
y = ----------------
-c1*x
c2*e - 1
我算到
1 1 1
----(--- - ------)dy = dx
c1 y y+c1
y c1*x
----- = c2*e
y+c1
怎麼移都移不出來 還是我算錯了@@
2.
2 2 2 2
yy'' - (y') = y lny - x y
答案
x -x 2
y = exp(c1*e + c2*e + x + 2)
感謝 QQ
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