Recent content by Augmented

Allright, I think i found a clue: Reduction of Order method will let us find the other solution ? Please someone confirm it whether wrong or right. Thanks

Should it be writing down characteristic equation ?? I see no way out with the x and x-1 that are coefficients to y'' and y'. As I write it like this: xr^{2}+(x-1)r-1=0 umm, 2 unknowns, 1 equation ? Maybe with the known solution helps here? How?

Allright, I understand that we need two solutions to be able to apply the method like y_{1} and y_{2} Problem gives 1 of them or let's you find only that 1 solution. But I can't apply the method since I don't have the other solution. The method I know is: u_{1}'(x)y_{1}(x)+u_{2}'(x)y_{2}=0...

thank you, I solved them all.

\acute{y}+xy^{3}+\frac{y}{x}=0 y(1)=2 using substitution u=y^{-2} e^{y}\acute{y}=e^{-x}-e^{y} y(0)=0 using substitution u=e^{y} i could not make these equations seperable and solve for the IVP. Anyone has any idea? Edit: these problems are not homework, but for self study for preparation to...