" 12.If "y=tan x," prove that "y_(2)=2yy_(1)

If x=tan t and y=tan pt , prove that, (1+x^(2))y_(2)+2(x-py)y_(1)=0

If y=e^(tan^(-1)x), prove that (1+x^(2))y_(2)+(2x-1)y_(1)=0

If y = tan^(-1) x, prove that (1 + x^2)y_2 + 2xy_1 = 0

If y=e^(tan^(-1)x) , prove that (1+x^2)y_2+(2x-1)y_1=0 .

If y=e^(tan^-1x), prove that (1+x^2)y_2+(2x-1)y_1=0

IF y=secx+tanx, show that , y_2-yy_1=0 .

If y=e^(tan^^)((-1)x), prove that (1+x^(2))y_(2)+(2x-1)y_(1)=0

If y=e^"tan"^((-1)"x")), prove that (1+x^2)y_2+(2x-1)y_1=0.

If y=sqrt(cos2x)," then: "yy_(2)+2y^(2)=

Let x_(1),x_(2) are the roots of the quadratic equation x^(2) + ax + b=0 , where a,b, are complex numbers and y_(1), y_(2) are the roots of the quadratic equation y^(2) + |a|yy+ |b| = 0 . If |x_(1)| = |x_(2)|=1 , then prove that |y_(1)| = |y_(2)| =1