Given below are two statements: Statement I: If x2y'' - 2xy' - 4y = x4, then the complementary function (C.F.) is C1x + C2x4. Statement II: If (D2 - 8D + 15)y = 0, then the auxiliary equation has equal roots. In the light of the above statements, choose the correct answer from the options given below:

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Mathematics · Differential Equations

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

Statement I is true but Statement II is false

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Answer 1

Statement I is false but Statement II is true

Answer 2

Statement I is true but Statement II is false

Answer 3

Both Statement I and Statement II are false

Answer 4

Both Statement I and Statement II are true

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