Hi, I have the given command
sol = Flatten[DSolve[y'[x] == y[x]^3/x^3 + y[x]/x + 1, y[x], x]]
which yields the solution
Solve[ArcTan[(-1 + (2 y[x])/x)/Sqrt[3]]/Sqrt[3] +
1/3 Log[1 + y[x]/x] - 1/6 Log[1 - y[x]/x + y[x]^2/x^2] ==
C[1] + Log[x], y[x]]
When I try to plot solution curves for this, based on various C values, I do the following:
f[x_, y_] := sol
SolutionCurves[f_, xrange_, yrange_, init_, styl_ : {Red, Thick}] :=
StreamPlot[{1, f}, xrange, yrange,
PlotRange -> {Take[xrange, -2], Take[yrange, -2]},
StreamPoints -> {init, Automatic, 10}, StreamScale -> None,
StreamColorFunction -> False, StreamStyle -> styl]
SolutionCurves[
f[x, y], {x, -4, 4}, {y, -4,
4}, {{1, -2}, {1.5, -1.01}, {2, 1}, {3, 2}}, {Blue, Medium}]
curveplot = %;
However, I get the error message
*Solve::nsmet: This system cannot be solved with the methods available to Solve. Part::partw: Part 1 of {} does not exist.*
Any ideas on what I can do?
Thanks.