Alevel微积分数学题请求老师同学解答/1,Find the general solution of the equationdy/dx=tanxcotydy/dx=y(y-1)/x (1,2)dy/dx=cotxcoty (30度,0)2,Obtain the general solution of the differential equationydytan2x/dx=1-y^23,Find the

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Alevel微积分数学题请求老师同学解答/
1,Find the general solution of the equation
dy/dx=tanxcoty
dy/dx=y(y-1)/x (1,2)
dy/dx=cotxcoty (30度,0)
2,Obtain the general solution of the differential equation
ydytan2x/dx=1-y^2
3,Find the solution of the differential equation dy/dx=sin^2x/y^2 which also satisfies y=1 when x=0

分离变量然后两边积分就可以了:tanydy=tanxdx,两边积分就出来了.其他的也这样