y'cosx=y
dy/y=dx/cosx
dx/cosx=dsinx/[(1-sinx)(1+sinx)]=(1/2)[d(1+sinx)/(1+sinx)-d(1-sinx)/(1-sinx)]
=d(1/2)ln[(1+sinx)/(1-sinx)]
lny=(1/2)ln[(1+sinx)/(1-sinx)]+C0
y=C*√[(1+sinx)/(1-sinx) ] C=e^C0
求y'cosx=y的通解
求y'cosx=y的通解
其他人氣:483 ℃時(shí)間:2020-06-21 18:55:36
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