Solving "Impossible" Differential Equations with Mathematica
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Your results should have looked like this:
sol1=NDSolve[{y'[x]==1-x Sqrt[y[x]], y[0]==1}, y[x], {x,0,5}]
Hmmm! What a strange looking answer! Mathematica seems to have a weird function built in called InterpolatingFunction, but what does it mean? Ask Mathematica for a description using the command ?InterpolatingFunction. Come back when you're done.
We now go and analyze this result...
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