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heydayana

  • 3 years ago

find a polynomial f(x) that satisfies the equation xf''(x) + f(x) = x^2

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  1. uzumakhi
    • 3 years ago
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    do you know about diffrential equation?

  2. heydayana
    • 3 years ago
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    which equation?

  3. Algebraic!
    • 3 years ago
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    undetermined coefficients: try Ax^2 +Bx +c = yp

  4. shubhamsrg
    • 3 years ago
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    *

  5. nitz
    • 3 years ago
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    firstly we divide by x and then integrating both sides twice will i guess give the answer

  6. uzumakhi
    • 3 years ago
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    by dividing with x we get \[f''(x) + \frac{ f(x) }{ x } = x\]

  7. uzumakhi
    • 3 years ago
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    we write it as \[f''(x) = x - \frac{ f(x) }{ x }\] now integrate both sides

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