[" Let the functions "x(t)" and "y(t)" satisfying "],[" the differential equations "],[(dx)/(dt)+ax=0,(dy)/(dt)+by=0" .If "x(0)=2],[y(0)=1" and "(x(1))/(y(1))=(3)/(2)," then "x(t)=y(t)" for "],[t=]

Let the function x(t) and y(t) satisfy the differential equations (dy)/(dt)+ax=0,(dy)/(dt)+by=0. If x(0)=2,y(0)=1 and (x(1))/(y(1))=(3)/(2), then x(t)=y(t) for t=

If y(t) satisfies the differential equation y'(t)+2y(t)=2e^(-2t),y(0)=2 then y(1) equals

If y(t) satisfies the differential equation y'(t)+2y(t)=2e^(-2t),y(0)=2 then y(1) equals

If y(t) satisfies the differential equation y'(t)+2y(t)=2e^(-2t),y(0)=2 then y(1) equals

Let x=x(t) and y=y(t) be solutions of the differential equations (dx)/(dt)+ax=0 and (dy)/(dt)+by=0] , respectively, a,b in R .Given that x(0)=2,y(0)=1 and 3y(1)=2x(1) ,the value of "t" ,for which, [x(t)=y(t) ,is :

A curve passing through (2,3) and satisfying the differential equation int_(0)^(x)ty(t)dt=x^(2)y(x),(x>0) is

A curve passing through (2,3) and satisfying the differential equation int_0^x ty(t)dt=x^2y(x),(x >0) is

If x and y are differentiable functions of t, then (dy)/(dx)=(dy//dt)/(dx//dt)," if "(dx)/(dt)ne0 .