问题标题:
【1+(dy/dx)^2=y^2怎么解求y】
问题描述:
1+(dy/dx)^2=y^2怎么解
求y
宋刚回答:
(dy/dx)=sqrt(y^2-1)whichimplies:dy/sqrt(y^2-1)=dxintegratebothsides:integrate(1/sqrt(y^2-1))dy=xwhichleadsto:ln|y+sqrt(y^2-1)|=xPleasepayattentiontothe+/-aftereachsteps.Ididntconsiderthisissuehere.
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