Mathematics · Differential Equations

The general solution of the second-order differential equation d2ydx2 - 6dydx + 25y = 0 is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1e4x(c1 cos(3x) + c2 sin(3x))
2e3x(c1 cos(4x) + c2 sin(4x))✓
3e-4x(c1 cos(3x) + c2 sin(3x))
4e-3x(c1 cos(4x) + c2 sin(4x))

Correct answer

e3x(c1 cos(4x) + c2 sin(4x))

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The general solution of the second-order differential equation d2ydx2 - 6dydx + 25y = 0 is:

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The general solution of the second-order differential equation d2ydx2 - 6dydx + 25y = 0 is:

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