Which of the following is the differenti

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

Which of the following is the differential equation whose solution is \(y = { x }^{ 2 } + 2x\)

Options:

y''-y'+y = \( { x }^{ 2 } \)

y''+y'-y = \( { x }^{ 2 } \)

y''+y'-y = \( { x }^{ -2 } \)

y''- y'-y = \( { x }^{ 2 } \)

Correct Answer:

y''-y'+y = \( { x }^{ 2 } \)

Explanation:

y' = 2x+2

y'' = 2