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direct integration?

x(dy/dx)=5x^3+4.

Please help solve

2007-07-13 09:56:29 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

If I read it right it is:
dy/dx = (5x^3 + 4)/x = 5x^2 + 4/x and
y = 5x^3/3 + 4ln(x) + constant.

2007-07-13 10:10:52 · answer #1 · answered by fernando_007 6 · 0⤊ 0⤋

dy/dx = 5x² + 4 / x
y = 5 x³ / 3 + 4 ln x + C

2007-07-13 17:24:08 · answer #2 · answered by Como 7 · 0⤊ 0⤋

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