calculus

2012-12-08 1:03 am
1(a) Find dy/dx, if y= ∫ [x^1/2,0] sin(t^2) dt
(b)Find a continuous non-zero function f on real numbers such
that [f(x)]^2= ∫ [x,0] f(t)sin(t)/(3+cost) dt
(Note: A function f on real numbers is non-zero if it is not everywhere zero).

2.(1+e^x)dy/dx+(e^x)y=-e^-x

3.dy/dx=(2x^2-xy+y^2)/x^2

回答 (1)

2012-12-08 3:12 am
✔ 最佳答案
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2012-12-08 08:10:40 補充:
for Q3, ln x should be ln |x| instead

2012-12-08 20:35:04 補充:
For 1(b), 1/2 ln 4= ln 2


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