Mathematics · Differential Equations
The solution of the differential equation d3ydx3 - 5.5d2ydx2 + 9.5dydx - 5y = 0 is expressed as y = c1e2.5x + c2eαx + c3eβx, where c1, c2, c3, α, and β are constants, with α and β being distinct and not equal to 2.5. Which of the following options is correct for the values of α and β?
- 1-2 and -3
- 22 and 3
- 3-1 and -2
- 41 and 2✓
Correct answer
1 and 2
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