Verify by substitution whetherthe given functions are solutions of the given DE. Primes denote derivatives with respect to x. y!! +y′= cos 2x;y"= cosx+sinx, y # = cos 2x, y$ =sin 2x

Complete Question

The complete question is shown on the first uploaded

is not a solution of the differential equation

  is not a solution of the differential equation

is not a solution of the differential equation

Step-by-step explanation:

The differential equation given is

Let consider the first equation to substitute

So

So

This means that is not a solution of the differential equation

Let consider the second equation to substitute

So

So

This means that is not a solution of the differential equation

Let consider the third equation to substitute

So

So

This means  that   is not a solution of the differential equation

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)