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doudou1219

银虫 (正式写手)

[求助] 求助微分方程求解问题 已有1人参与

求助微分方程求解问题

谢谢各位大神

求助微分方程求解问题
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peterflyer

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peterflyer


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3楼: Originally posted by Edstrayer at 2015-05-14 03:42:25
\frac{ydy}{ay+\frac{b}{\sqrt{x}}+c}=\frac{A}{\sqrt{x}}dx
ydy=\left(ay+\frac{b}{\sqrt{x}}+c\right)\frac{A}{\sqrt{x}}dx
dy=\frac{aA}{\sqrt{x}}dx+\left(\frac{bA}{x}+\frac{cA}{\sqrt{x}}\right)\frac{dx} ...

有一点不明白,向专家请教:
从[2*a*A*sqrt(x)+z]*dz进行积分,如何得出它的下面的结果呢:
Integral{[2*a*A*sqrt(x)+z]*dz}
      =4/3*a*A*x^(3/2)+1/2*z^2 + C  ???
你代入原方程验算过吗?
7楼2015-05-15 20:22:36
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