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derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0
Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y
1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture
derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y
trig integral ∫3e^(2x)/(1+e^(4x)) dx
1st/2ways: Find trig integral ∫sec^2(x)/csc^2(x) dx
2nd/2ways: Find trig integral ∫sec^2(x)/csc^2(x) dx