alexmahone
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Solve [math]y'(x)=5x^3(y-1)^\frac{1}{5}[/math], [math]y(0)=1[/math].
I found 3 solutions: [math]y=x^5+1[/math], [math]y=-x^5+1[/math] and the constant solution [math]y=1[/math].
But my prof said there are infinitely many solutions. Which are they?
I found 3 solutions: [math]y=x^5+1[/math], [math]y=-x^5+1[/math] and the constant solution [math]y=1[/math].
But my prof said there are infinitely many solutions. Which are they?