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Factors of the given expression by splitting middle term of expression will be
.
Given expression is
A factor is a number that divides another number leaving no remainder
After we split 42x into 21x each,
The expression looks like,
Taking 3x+7 as common
So factors will be (3x+7) and (3x+7).
Therefore,
Factors of the given expression will be
.
to get more about factors refer to:
Given :
A function , x = 2cos t -3sin t .....equation 1.
A differential equation , x'' + x = 0 .....equation 2.
To Find :
Whether the given function is a solution to the given differential equation.
Solution :
First derivative of x :
Now , second derivative :
( Note : derivative of sin t is cos t and cos t is -sin t )
Putting value of x'' and x in equation 2 , we get :
=(-2cos t + 3sin t ) + ( 2cos t -3sin t )
= 0
So , x'' and x satisfy equation 2.
Therefore , x function is a solution of given differential equation .
Hence , this is the required solution .