請大大幫我詳解~這題數學~thank you
A. show that Y1(x)=0and Y2(x)=x^3/2 are solutions for r>等於0of the differential equation Y'=(3/2)y^1/3
math in protant~急>
2010-04-28 8:18 am
回答 (1)
2010-04-28 5:06 pm
✔ 最佳答案
It is easy, for the differential equation:y' = (3/2)y^(1/3)
For y1(x) = 0, y1'(x) = 0
Obviously, it satisfies both sides of the equation.
For y2(x) = x^(3/2), y2'(x) = (3/2)x^(1/2)
L.H.S. = (3/2)x^(1/2)
R.H.S. = (3/2)(x^(3/2))^(1/3) = (3/2)x^(1/2) = L.H.S.
參考: Physics king
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