[理工] [工數]-二階ODE
請問大家
題目如下
y''-3y'+2y=-exp(3x)/(exp(x)+1)
yh=c1exp(x)+c2exp(2x)
yp=exp(x)∫exp(x)∫exp(-2x) * [-exp(3x)/exp(x)+1]dxdx
yp=exp(x)∫exp(x)∫ [-exp(x)/exp(x)+1]dxdx
yp=exp(x)∫exp(x)[-ln(exp(x)+1)]dx
yp=exp(x)[xln(exp(x)+1)-x]
請問這樣解有錯嗎??
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※ 編輯: hihaka2001 來自: 122.147.18.200 (10/27 22:18)
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