" 20."y=e^(1-x^(2)),x in[-1,1]

y=log_e((1+x^2)/(1-x^2)) then find 225(y''-y') at x=1/2

(1+e^(2x))dy+e^(x)(1+y^(2))dx=0 it being given that y=1 when x=0

If y=tan^(-1)((2)/(e^(-x)-e^(x)))" then "(1+e^(2x))y_(1)=

If y = (e^(x)-e^(-x))/(e^(x)+e^(-x)) then prove that y = (e^(2x)-1)/(e^(2x)+1) .

If e^(cot^(-1)x) Prove that (1+x^(2))y_(2) +(2x + 1)y_(1) = 0 .

y = e ^ (xx) x tan ^ (- 1) x, showthat (1 + x ^ (2)) y_ (2) -2 (1-x + x ^ (2)) y_ (1) + (1 -x ^ (2)) y = 0