For which values of $x$ we will get that these curves are orthogonal?












0














For which values of $x$ we will get that:
$$ x^2 + cy^2 = 7 $$

(while $c>0$) orthogonal to:
$$ x^2 + y^2 = log(x^{14}) + 29 - 14cdot log(2) $$
?





My intuition was that it's while $x>0$ but it's wrong.










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  • These are curves. They can only be "orthogonal" at points where they intersect. They do not intersect for every $x > 0$.
    – Paul Sinclair
    Nov 21 at 1:34
















0














For which values of $x$ we will get that:
$$ x^2 + cy^2 = 7 $$

(while $c>0$) orthogonal to:
$$ x^2 + y^2 = log(x^{14}) + 29 - 14cdot log(2) $$
?





My intuition was that it's while $x>0$ but it's wrong.










share|cite|improve this question






















  • These are curves. They can only be "orthogonal" at points where they intersect. They do not intersect for every $x > 0$.
    – Paul Sinclair
    Nov 21 at 1:34














0












0








0







For which values of $x$ we will get that:
$$ x^2 + cy^2 = 7 $$

(while $c>0$) orthogonal to:
$$ x^2 + y^2 = log(x^{14}) + 29 - 14cdot log(2) $$
?





My intuition was that it's while $x>0$ but it's wrong.










share|cite|improve this question













For which values of $x$ we will get that:
$$ x^2 + cy^2 = 7 $$

(while $c>0$) orthogonal to:
$$ x^2 + y^2 = log(x^{14}) + 29 - 14cdot log(2) $$
?





My intuition was that it's while $x>0$ but it's wrong.







differential-equations curves






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share|cite|improve this question











share|cite|improve this question




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asked Nov 20 at 17:51









Software_t

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1255












  • These are curves. They can only be "orthogonal" at points where they intersect. They do not intersect for every $x > 0$.
    – Paul Sinclair
    Nov 21 at 1:34


















  • These are curves. They can only be "orthogonal" at points where they intersect. They do not intersect for every $x > 0$.
    – Paul Sinclair
    Nov 21 at 1:34
















These are curves. They can only be "orthogonal" at points where they intersect. They do not intersect for every $x > 0$.
– Paul Sinclair
Nov 21 at 1:34




These are curves. They can only be "orthogonal" at points where they intersect. They do not intersect for every $x > 0$.
– Paul Sinclair
Nov 21 at 1:34















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