Solve the ODE using power series method (x-1)y"-xy'+y=0 where y(0)=-2, y'(0)=6 Show all steps followed
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- Solve the ODE xdx + ydy = xdy - ydx a. ln [(y+x) / x] = C b. ln [(x-y) / x] = C c. arctan (y/x) - 0.5 ln [(y^2 + x^2) / x] = C d. arctan (y/x) - 0.5 ln [(y^2 + x^2) / x^2] - lnx = C e. noneFind the power series for the function f(x)=(12x)/(x+1) using the power series for 1/(x+1).Solve the equation using the power series method y"-2xy+8y=0 where y(0)=2, y'(0)=0 Shoe all steps followed