Recent content by blackthunder

Hey, I was hoping someone could help me with this question I can't get at all. If $$\phi{h}=L-c_1h^{\frac{1}{2}}-c_2h^{\frac{2}{2}}-c_3h^{\frac{3}{2}}-...$$ , then what combination of $$\phi{h}$$ and $$\phi(\frac{h}{2})$$ should give a more accurate estimate of L. Thanks for any help.

so the pde can be restated as: $$u_x+2xu_y=y$$ and yes, i stuffed up dy/dx. dy/dx=2x edit: I forgot to mention the condition $$u(0,y)=y^2$$

Hi, need some help here so thanks to any replies. PDE: $$yu_x+2xyu_y=y^2$$ edit: Forgot to mention the condition $$u(0,y)=y^2$$ a) characteristic equations: $$dx/ds=y$$ $$dy/ds=2xy$$ $$du/ds=y^2$$ b) find dy/dx and solve $$dy/dx=dy/ds * ds/dx = x/y$$ $$ydy=xdx$$ $$y^2/2=x^2/2 +c$$ $$y=\pm...