The corresponding homogeneous equation,
has two roots at 
, so that the characteristic solution is
For the particular solution, assume one of the form
Substituting 
and its derivatives into the non-homogeneous ODE gives
Then the general solution to the ODE is
258 / 6 = 43
Hope this helps!
Answer:
use a calculator
Step-by-step explanation:
Answer:
I think the answer is B. The equation has infinitely many solutions.
Step-by-step explanation:
4(3x + 4) = 15x + 12 - 3x + 4
*group like terms so 4(3x+4) = 15x - 3x + 12 + 4
*add similar elements 15x - 3x = 12x
*add the numbers 12 + 4 = 16
*Expand to 12x + 16 - 16 = 12x + 16 - 16
*You simplify 12x = 12x
*Subtract 12x from both sides
*Then Simplify which is 0
Which means Both sides are equal to 0
True for all X
( 6 − 7 i ) ( − 8 + 3 i )
First FOIL:
( 6 − 7 i ) ( − 8 + 3 i ) = -48 + 18i + 56i -21i^2
Combine like terms
= -48 + 74i -21i^2
Convert i^2 = -1
= -48 + 74i -21(-1)
And simplify
= -48 + 74i + 21
= -27 + 74i
