F(x,y,y′,y′′,…,y(n))=0cap F open paren x comma y comma y prime comma y double prime comma … comma y raised to the open paren n close paren power close paren equals 0 is the . is the dependent variable (a function of are the first, second, and -th derivatives of with respect to Why Do We Study ODEs?
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: Explicit solutions express the dependent variable directly ( ), while implicit solutions leave them intertwined ( Key Syllabus Modules Covered in the Book