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heydayana Group Title

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

  • 2 years ago
  • 2 years ago

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  1. uzumakhi Group Title
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    do you know about diffrential equation?

    • 2 years ago
  2. heydayana Group Title
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    which equation?

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

    • 2 years ago
  4. shubhamsrg Group Title
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    *

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

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

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

    • 2 years ago
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