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heydayana
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find a polynomial f(x) that satisfies the equation xf''(x) + f(x) = x^2
 one year ago
 one year ago
heydayana Group Title
find a polynomial f(x) that satisfies the equation xf''(x) + f(x) = x^2
 one year ago
 one year ago

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uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
do you know about diffrential equation?
 one year ago

heydayana Group TitleBest ResponseYou've already chosen the best response.0
which equation?
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
undetermined coefficients: try Ax^2 +Bx +c = yp
 one year ago

nitz Group TitleBest ResponseYou've already chosen the best response.0
firstly we divide by x and then integrating both sides twice will i guess give the answer
 one year ago

uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
by dividing with x we get \[f''(x) + \frac{ f(x) }{ x } = x\]
 one year ago

uzumakhi Group TitleBest ResponseYou've already chosen the best response.0
we write it as \[f''(x) = x  \frac{ f(x) }{ x }\] now integrate both sides
 one year ago
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