Let `y=y(t)` be a solution to the differential equation `y^(prime)+2t y=t^2,` then `16 ("lim")_(tvecoo)y/t` is_______

A solution of the differential equation y'=y is

Let y=y(t) be a solution to the differential equation y^(')+2ty=t^(2) , then 16 lim_(t to infty t) y/t is……………….

Find the solution of the differential equation y^(')y^(''')=3(y^(''))^(2) is

The solution of the differential equation y^(prime)y^(primeprimeprime)=3(y^(primeprime))^2 is

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

The solution of differential equation y y^(prime)=x((y^2)/(x^2)+(f((y^2)/(x^2)))/(f^(prime)((y^2)/(x^2)))) is

The solution of the differential equation y^(prime prime prime)-8y^(prime prime)=0, where y(0)=1/8,y^(prime)(0)=0,y^(prime prime)(0)=1 , is

If y(t) is a solution of (1+t)dy/dt-t y=1 and y(0)=-1 then y(1) is

If t_(1) and t_(2) are the extremities of any focal chord of y^(2) = 4ax " then " t_(1)t_(2) is _____

Let x = f(t) and y = g(t), where x and y are twice differentiable function If f^(')(0) = g^(')(0) = f^('')(0) = 2, g^(")(0) = 6 , then the value of ((d^(2)y)/(dx^(2))_(t=0) is equal to