Home
Class 12
MATHS
Consider the two statements Statement-l:...

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`

A

-3

B

0

C

2

D

3

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Find Order and Degree of given differential equation y"' + 2y'' + y' = 0

The general solution of the differential equation (y dx - x dy)/(y ) = 0 is

Find order and degree of given differential equation y" + 2y' + sin y = 0

Find Order and Degree of given differential equation. y' + 5y = 0

Integrating factor of the differential equation y dx - ( x-2y^(2) ) dy=0 is …..

Find order and degree of given differential equation y' + y = e^(x)

Find order and value of given differential equation y"+(y')^(2) + 2y = 0

Verify that the function y = e^(-3x) is a solution of the differential equation (d^(2)y)/(dx^(2)) + (dy)/(dx) - 6y = 0

Let y=f(x) satisfies the equation f(x) = (e^(-x)+e^(x))cosx-2x-int_(0)^(x)(x-t)f^(')(t)dt y satisfies the differential equation