I'm sorry , I meant to write x1=0, x2=10. It gives
Eq(Piecewise(((5 + b/(4*a))*sqrt(400*a**2 + 40*a*b + b**2 + 1) - log(4*a*b
+ 4*sqrt(b**2 + 1)*sqrt(a**2))/(4*sqrt(a**2)) + log(80*a**2 + 4*a*b +
4*sqrt(400*a**2 + 40*a*b + b**2 + 1)*sqrt(a**2))/(4*sqrt(a**2)) -
b*sqrt(b**2 + 1)/(4*a), ((a > -oo) & (a < oo) & Ne(a, 0)) | (Ne(a**2, 0) &
Ne(a*b, 0))), (-(b**2 + 1)**(3/2)/(6*a*b) + (40*a*b + b**2 +
1)**(3/2)/(6*a*b), Ne(a*b, 0)), (10*sqrt(b**2 + 1), True)), 20)
but the solution I got is empty i.e. [ ]
Thanks
Shishir Kushwaha
On Sunday 26 May 2024 at 06:58:37 UTC+5:30 asme...@gmail.com wrote:
> With x1 = x2 = 0, arc_length_expr is equal to 0, meaning your eq3 is
> invalid. You can see this if you print eq3. It gets set to False,
> because it is 0 = 10.
>
> Aaron Meurer
>
> On Sat, May 25, 2024 at 5:26 PM Shishir Kushwaha
> <kushwahas...@gmail.com> wrote:
> >
> > In the following piece of code I am unable to get the values of a,b and
> c after solving them.
> > Is there a different way to solve it and what am i doing wrong. Take x1
> = 0 , y1=10, x2=0, y2=10, length = 20.
> >
> > def get_lowest_point(self):
> > a, b, c, x = symbols('a b c x')
> >
> > x1, y1 = self._left_support
> > x2, y2 = self._right_support
> > length = self._length
> >
> > eq1 = Eq(a * x1**2 + b * x1 + c, y1)
> > eq2 = Eq(a * x2**2 + b * x2 + c, y2)
> > arc_length_expr = integrate(sqrt(1 + (2 * a * x + b)**2),
> > (x, x1, x2))
> > eq3 = Eq(arc_length_expr, length)
> > solution = solve((eq1, eq2, eq3), (a, b, c))
> >
> > # Print the solution to debug
> > print("Solution:", solution)
> >
> > return solution
> >
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>
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