alc y=2quad (a,e+b)^(2)

y = (ax + b) e^(-2x)

If log_(e) (x^(4) y) = a and log_(e) (x^(2) y^(2)) = b, then log_(e) sqrt(y) in terms of a and b is

Let y=y(x) be the solution of the differential equation,x((dy)/(dx))+y=x log_(e)x,(x>1) if 2y(2)=log_(e)4-1, then y(e) is equal to: (a)-((e)/(2))(b)-((e^(2))/(2))(c)(e)/(4)(d)(e^(2))/(4)

If a x+b y=1 is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then a^2-b^2 is equal to (a) 1/(a^2e^2) (b) a^2e^2 (c) b^2e^2 (d) none of these

If a x+b y=1 is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then a^2-b^2 is equal to (a) 1/(a^2e^2) (b) a^2e^2 (c) b^2e^2 (d) none of these

If a x+b y=1 is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then a^2-b^2 is equal to 1/(a^2e^2) (b) a^2e^2 b^2e^2 (d) none of these

If y= e^(ax) sin bx then show that, y_(2)- 2ay_(1) + (a^(2) + b^(2))y= 0

If y=e^(ax)sin bx, then prove that y_(2)-2ay_(1)+(a^(2)+b^(2))y=0

If y= e^(ax) sin(bx), show that y2 - 2ay1 + ( a^2 + b^2 ) y = 0

y=e^(ax)sin bx : Prove that y_2-2ay_1+(a^2+b^2)y=0 .