Mathematics · Differential Equations

If y = (A + Bx)e5x is the general solution of a differential equation, then which of the following is the correct differential equation?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1d2ydx2 - 10dydx + 25y = 0✓
2d2ydx2 + 9dydx + 9y = 0
3d2ydx2 + 10dydx + 25y = 0
4d2ydx2 + 6dydx + 25y = 0

Correct answer

d2ydx2 - 10dydx + 25y = 0

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If y = (A + Bx)e5x is the general solution of a differential equation, then which of the following is the correct differential equation?

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If y = (A + Bx)e5x is the general solution of a differential equation, then which of the following is the correct differential equation?

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