" If "f(x)" is the solution of the equation "(dy)/(dx)=-2x(y-1)" with "f(0)>1," then "lt f(x)" is "

If y=f(x) is the solution of differential equation , e^y((dy)/(dx)-2)=e^(3x) such that f(0)=0 , then f(2) is equal to :

If y=f(x) is the solution of differential equation (dy)/(dx)+(4x^(3))/(1+x^(4))y=x ,then f(x)=

Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e^(x) and f(0)=0 then f(1) is equal to

Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e^(x) and f(0)=0 then f(1) is equal to

If y_(1)(x) is a solution of the differential equation (dy)/(dx)-f(x)y = 0 , then a solution of the differential equation (dy)/(dx) + f(x) y = r(x) is

If y_(1)(x) is a solution of the differential equation (dy)/(dx)-f(x)y = 0 , then a solution of the differential equation (dy)/(dx) + f(x) y = r(x) is

Let Y = y(x) be the solution of the differential equation ( dy ) /( dx) + 2y = f(x) , where f(x) = { {:(1, x in [0,1]),( 0, " Otherwise "):} IF y(0) =0 then y ((3)/(2)) is :

Let Y = y(x) be the solution of the differential equation ( dy ) /( dx) + 2y = f(x) , where f(x) = { {:(1, x in [0,1]),( 0, " Otherwise "):} IF y(0) =0 then y ((3)/(2)) is :

If y=f(x) satisfy differential equation ( dy )/(dx)-y=e^(x) with f(0)=1 then value of f'(0) is