(x)/(4ln(x)/(y))+(y)/(x)=-1(x,y!=0). pi x^(3)-y^(3)bar(cos)

Prove that tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is (pi)/(4) and Not(-3 pi)/(4)

If 3sin(x y)+4cos(x y)=5 , then (dy)/(dx)= (a) y/x (b) (3sin(x y)+4cos(x y))/(3cos(x y)-4sin(x y)) (c) (3cos(x y)+4sin(x y))/(4cos(x y)-3sin(x y)) (d) none

If (sin x)/(sin y)=(1)/(2), (cos x)/(cos y)=(3)/(2) , where x,y in (0,(pi)/(4)) , then the value of tan (x + y) is equal to

If 3sin(x y)+4cos(x y)=5,t h e n(dy)/(dx)= (a) -y/x (b) (3sin(x y)+4cos(x y))/(3cos(x y)-4sin(x y)) (c) (3cos(x y)+4sin(x y))/(4cos(x y)-3sin(x y)) (d) (sin^2(a+y))/(sina)

If log(x-y)-log5-(1)/(2)log x-(1)/(2)log y=0 then (x)/(y)+(y)/(x) is equal to

y=log[3^(x)((x+1)/(x-5))^(3/4)]

Solution of D*E*(dy)/(dx)=(3x+4y+3)/(12x+16y-4) is (A) y=4x+ln(3x+4y)+c(B)4y=x+ln(3x+4y)+c(C)y=ln(3x+4y)+c(D)x+y=ln(3x+4y)+c

If (2+sin x)(dy)/(dx)+(y+1)cos x=0 and y(0)=1, then y((pi)/(2)) is equal to -(1)/(3)(2)(4)/(3) (3) (1)/(3)(4)-(2)/(3)

If (dy)/(dx) + (4)/(cos^2 x) y = (1)/(cos^2 x) , x in ((-pi)/(3) , pi/3) " and " y (pi/6) = 4/3 " then " y (- pi/6) equals ,