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If I have correctly understood your problem, you should type: a+x+g=0, b+y+h=0, c+z+j=0, a^2+b^2+c^2=R^2, x^2+y^2+z^2=R^2, g^2+h^2+j^2=R^2, R=1, x=1
Leave a space between 3x and y'[x] and write Log with capital L, see what I get in Mathematica 7: In[1]:= DSolve[{3 x y'[x] - y[x] == Log[x] + 1, y[1] == -2}, y[x], x] Out[1]= {{y[x] -> -4 + 2 x^(1/3) - Log[x]}}
Hello everybody! Does anybody know why WolframAlpha gives the answer "0" to limit[(x*y^2)/(x^2 + y^4),{x,y}->{0,0}] against the fact that, although on many paths the limit is 0, in each neighborhood of the origin there are: - an...