4.Consider the two statements Statement...

4.Consider the two statements Statement-l: y=sin kt satisfies the differential equation `y'' + 9y = 0`. Statement 2 : y= `e^(kt)` satisfy the differential equation `y'' + y' - 6y = 0`. The value of k for which both the statements are correct is(A)`-3`(B)` 0`(C) `2`(D)`3`

Verified by Experts

The correct Answer is:

1

Similar Questions

Explore conceptually related problems

The order of the differential equation y" + y' + y = 0 is

If y(x) satisfies the differential equation y'-y tan x=2x and y(0)=0 , then

If y=e^(4x)+2e^(-x) satisfis the differential equation y_3+Ay_1+By=0 then

The order of the differential equation y'' + y^2+e^y'=0 is

If y(x) satisfies the differential equation y'-y tan x=2x sec x and y(0)=0, then

Verify that y = e^(-2x) is a solution of the differential equation y'' + 4y'' - 3y' - 2y = 0 .

The order of the differential equation y" + y^2 +e^y' =0 is

If. y (x) satisfies the differential equation y' – y tan x = 2x sec x and y (0) = 0, then

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