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#249 desolve(diff(y(x),x)=(4-2*x)/(3*y^2-5),y(x)); WRONG
closed
nobody
None
5
2003-04-08
2003-03-11
Anonymous
No
(C4) desolve(diff(y(x),x)=(4-2*x)/(3*y^2-5),y(x));
2
x 4 x
(D4) y(x) = - -------- + -------- + y(0)
2 2
3 y - 5 3 y - 5
it should be
2
x 4 x
(D4) y(x) = - -------- + -------- + y(0)
2 2
y - 5 y - 5
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This is not a bug in desolve. As the documentation says,
desolve requires functional dependencies to be explicit --
there is no connection between the function y(x) and the
variable y. It turns out that desolve can't solve this equation,
but ode2 claims to. I don't know if its solution is correct.