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Re: Schaums outline Mathematica 2nd ed, prob. 11.3 help


One of the x's in your Dsolve is a capital X rather than a lower case
x.

Use

DSolve[{y'[x] == x^2 + y[x], y[0] == k}, y[x], x], {k, 0, 4}];

rather than

DSolve[{y'[x] == X^2 + y[x], y[0] == k}, y[x], x], {k, 0, 4}];

--David


On Mar 29, 4:02 am, "pennsylvaniaj... at gmail.com"
<pennsylvaniaj... at gmail.com> wrote:
> I cannot get this code to show the solutions to the equation, only the vector plot.  Whats wrong?  It came from Schum's Outline, Mathematica 2n ed, solved problem 11.3 on page 272-3.  The only changes I made was using v1 for vf and s1 for solutions.
>
> v1 = VectorPlot[{1, x^2 + y}, {x, 0, 1}, {y, 0, 12},
>    Axes -> Automatic, VectorScale -> Tiny];
>
> s1 = Table[
>    DSolve[{y'[x] == X^2 + y[x], y[0] == k}, y[x], x], {k, 0, 4}];
>
> Do[g[k] =
>   Plot[s1[[k, 1, 1, 2]], {x, 0, 1}, PlotStyle -> Thickness[0.007],
>    PlotRange -> All], {k, 1, 5}]
>
> Show[g[1], g[2], g[3], g[4], g[5], v1, Frame -> True,
>  AspectRatio -> 1]




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