Physics · Differential Equations and Invariants
If three real variables x, y, and z evolve with time t following the differential equations dxdt = x(y - z), dydt = y(z - x), and dzdt = z(x - y), then which of the following quantities remains invariant in time?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 11x + 1y + 1z
- 21xy + 1yz + 1zx✓
- 3x2 + y2 + z2
- 4xy + yz + zx
Correct answer
1xy + 1yz + 1zx
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