(dy/dx)=6((x/√(x^2+2)))?

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(dy/dx)=6((x/√(x^2+2)))?

2007-10-22 09:57:00 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

trying to solve the differential equation

2007-10-22 10:07:39 · update #1

im trying to solve the differential equation.

2007-10-25 12:21:45 · update #2

2 answers

dy/dx = 6x / (x² + 2)^(1/2)
Let u = x² + 2
du/dx = 2 x
3 du/dx = 6 x

dy/dx = 3 du/dx / u^(1/2)
dy/du = 3 u^(-1/2)
y = 3 u^(1/2) / (1/2) + C
y = 6 u^(1/2) + C
y = 6 (x² + 2)^(1/2) + C

2007-10-29 20:36:57 · answer #1 · answered by Como 7 · 1⤊ 0⤋

what are you trying to find? does this equation equal y and you are trying to find dy/dx? or are you trying to find what the original equation is and this one is the derivative?

2007-10-22 10:01:24 · answer #2 · answered by gang$tahtooth 5 · 0⤊ 0⤋