微分方程(y+1)²dy/dx+x³=0的通解为有几个答案,帮我选下:1..4(y+1)³+3(x)四次方=C 2..5(y+1) ³+4(x)四次方=C 3..6(y+1)³+5(x)四次方=C 4..7(y+1)³+6(x)四次方=C
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![微分方程(y+1)²dy/dx+x³=0的通解为有几个答案,帮我选下:1..4(y+1)³+3(x)四次方=C 2..5(y+1) ³+4(x)四次方=C 3..6(y+1)³+5(x)四次方=C 4..7(y+1)³+6(x)四次方=C](/uploads/image/z/12593003-59-3.jpg?t=%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%EF%BC%88y%2B1%EF%BC%89%26sup2%3Bdy%EF%BC%8Fdx%2Bx%26sup3%3B%3D0%E7%9A%84%E9%80%9A%E8%A7%A3%E4%B8%BA%E6%9C%89%E5%87%A0%E4%B8%AA%E7%AD%94%E6%A1%88%EF%BC%8C%E5%B8%AE%E6%88%91%E9%80%89%E4%B8%8B%EF%BC%9A1..4%EF%BC%88y%2B1%29%26sup3%3B%2B3%28x%29%E5%9B%9B%E6%AC%A1%E6%96%B9%3DC++++++++++++2..5%28y%2B1%29+%26sup3%3B%2B4%28x%29%E5%9B%9B%E6%AC%A1%E6%96%B9%3DC+++++3..6%28y%2B1%29%26sup3%3B%2B5%28x%29%E5%9B%9B%E6%AC%A1%E6%96%B9%3DC++++++4..7%28y%2B1%29%26sup3%3B%2B6%28x%29%E5%9B%9B%E6%AC%A1%E6%96%B9%3DC)
微分方程(y+1)²dy/dx+x³=0的通解为有几个答案,帮我选下:1..4(y+1)³+3(x)四次方=C 2..5(y+1) ³+4(x)四次方=C 3..6(y+1)³+5(x)四次方=C 4..7(y+1)³+6(x)四次方=C
微分方程(y+1)²dy/dx+x³=0的通解为
有几个答案,帮我选下:1..4(y+1)³+3(x)四次方=C 2..5(y+1) ³+4(x)四次方=C 3..6(y+1)³+5(x)四次方=C 4..7(y+1)³+6(x)四次方=C
微分方程(y+1)²dy/dx+x³=0的通解为有几个答案,帮我选下:1..4(y+1)³+3(x)四次方=C 2..5(y+1) ³+4(x)四次方=C 3..6(y+1)³+5(x)四次方=C 4..7(y+1)³+6(x)四次方=C
(y+1)^2dy=-x^3dx
两边积分得
(y+1)^3/3=-x^4/4+c
y=三次根号下(-3x^4/4+c)-1
c是常数
最简单的X、Y分离形式。
选1
(y+1)²d(y+1)=-x³(dx)
1/3(y+1)^3=-1/4x^4+C
即4(y+1)³+3(x)四次方=C
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