How can I find the differantial equation of one parametered ellipse family with the equation : $$t^{2}/c + y^{2} = 1/(c-1)$$
2026-03-26 06:28:25.1774506505
Find differential equation of ellipse
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Using implicit differentiation with respect to $t$ we have:
$$\frac{2t}{c}+2\cdot y\cdot y'=0 \Leftrightarrow t+c\cdot y\cdot y'=0$$