Re: How to prevent Solve from DSolve?

*To*: mathgroup at christensen.cybernetics.net*Subject*: [mg910] Re: How to prevent Solve from DSolve?*From*: chen at fractal.eng.yale.edu (Richard Q. Chen)*Date*: Sun, 30 Apr 1995 03:44:36 -0400*Organization*: Yale University

Sorry I made a typing error in saying that the implicit solution to the ODE DSolve[2 y[x] + (x + y[x]) y'[x] == 0, y[x], x] is f(x,y) = y*(y+2x)^2 = C[1] It is actually f(x,y) = y*(y+3x)^2 = C[1] Verification: In[1]:= Solve[D[y[x]*(y[x]+3x)^2,x]==0,y'[x]] -2 y[x] Out[1]= {{y'[x] -> --------}} x + y[x] In[2]:= 2 y[x] + (x + y[x]) y'[x] == 0/.%[[1]] Out[2]= True -- Richard Q. Chen chen at fractal.eng.yale.edu