''y ux'' solve separation variables ''u'' ''x'' math ln cx int x frac lambda f lambda lambda math first order separable ref name mhft math begin align ym xy xn xy frac dy dx ym xy dx xn xy dy end align math separation variables divide ''xy'' math ln cx int xy frac n lambda lambda lambda n lambda lambda math ''n'' ''m'' solution ''xy'' ''c'' exact differential first order ref name edebvp math begin align xy frac dy dx n xy xy dy n xy dx end align math math frac partial partial
Formal science Mathematics Pure mathematics Analysis Ordinary differential equations