求下列微分方程的通解(cosy)dy/dx-siny=0

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求下列微分方程的通解(cosy)dy/dx-siny=0求下列微分方程的通解(cosy)dy/dx-siny=0求下列微分方程的通解(cosy)dy/dx-siny=0∵(cosy)dy/dx-sin

求下列微分方程的通解(cosy)dy/dx-siny=0
求下列微分方程的通解(cosy)dy/dx-siny=0

求下列微分方程的通解(cosy)dy/dx-siny=0
∵(cosy)dy/dx-siny=0
==>(cosy)dy=sinydx
==>(cosy)dy/siny=dx
==>d(siny)/siny=dx
==>ln│siny│=x+ln│C│ (C是积分常数)
==>siny=Ce^x
∴原方程的通解是siny=Ce^x.