-4/(y^4+1)-2/(y^2+1)-1/(y+1)+1/(y-1)=2y/(-1+y^8)解方程
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-4/(y^4+1)-2/(y^2+1)-1/(y+1)+1/(y-1)=2y/(-1+y^8)解方程-4/(y^4+1)-2/(y^2+1)-1/(y+1)+1/(y-1)=2y/(-1+y^8)解
-4/(y^4+1)-2/(y^2+1)-1/(y+1)+1/(y-1)=2y/(-1+y^8)解方程
-4/(y^4+1)-2/(y^2+1)-1/(y+1)+1/(y-1)=2y/(-1+y^8)
解方程
-4/(y^4+1)-2/(y^2+1)-1/(y+1)+1/(y-1)=2y/(-1+y^8)解方程
原方程左边=-4/(y^4+1) -2/(y^2+1) +[1/(y-1) -1/(y+1)]
=-4/(y^4+1) -2/(y^2+1) +[(y+1)-(y-1)]/[(y-1)*(y+1)]
=-4/(y^4+1) -2/(y^2+1) +2/(y^2-1)
=-4/(y^4+1) +2[1/(y^2-1) -1/(y^2+1)]
=-4/(y^4+1) +2[(y^2+1)-(y^2-1)]/[(y^2+1)*(y^2-1)]
=-4/(y^4+1) +4/(y^4-1)
=4[1/(y^4-1) -1/(y^4+1)]
=4[(y^4+1)-(y^4-1)]/[(y^4-1)*(y^4+1)]
=8/(y^8-1)
原方程右边=2y/(-1+y^8)
所以 2y=8
所以 y=4
方程y''-4y'+13y=0的通解方程y''=(1+y'*y')/2y的通解
4y²-4y/y²-2y+1÷(y+1/y-1-y-1/y+1)÷(3y+3)
(y-4)(3y+2)-(3y-7)(2y+1),其中y=4/3
2(y-4)(3y+2)-5(-3y+7)(y+1),其中y=-1
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1/2y+1=4y-2/5-y
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y- 2y+1/2=9- 8-y/4
y-2y+1/2=9-8-y/4
2-(4-y)=6y-2(y+1)
2-(4-y)=6y-2(y+1)
把4(x-y+1)+y(y-2x)因式分解
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4y的平方-3y-1=y-2
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y-2[y-4(y-1)]-8=0
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