From: nma@12000.org   
      
   On 8/28/2016 11:48 PM, Dr Huang wrote:   
   > eq is nonlinear but solution is Linear a x + b.   
   >   
   > input equation y' = sin(x-y-c) into www.mathHandbook.com, click   
   >the dsolve button to get solution, click the odetest button to test its   
   solution   
   >   
      
   But your solution is only a particular solution. Your solution says this:   
      
       y=-c+x-arcsin(1)   
      
   Even though it satisfies the ODE, it is not a general solution.   
      
   To make it general, it need to have arbitrary constant of integration.   
      
   Am I missing something?   
      
   Maple can find particular solution also:   
      
   ode:=diff(y(x),x)=sin(x-y(x)-c);   
   DEtools:-particularsol(ode);   
      
        -c+x-(1/2)*Pi   
      
   odetest(y(x)=-c+x-(1/2)*Pi,ode);   
          0   
      
   --Nasser   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)