The first thing we must do in this case is find the derivatives:
y = a sin (x) + b cos (x)
y '= a cos (x) - b sin (x)
y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
-b-8a = 1
a-8b = 0
Whose solution is:
a = -8 / 65
b = -1 / 65
Answer:
constants a and b are:
a = -8 / 65
b = -1 / 65
Answer: −18x+4
Step-by-step explanation:
=(−6)(3x+ −2/3)
=(−6)(3x)+(−6)(
−2/3)
Answer:
1 5th ^2.
Step-by-step explanation:
Answer:
The quandrants on a grap are basically the groups on the graph like quadrant I ,II ,III , and IV hope that helps
Step-by-step explanation:
Answer:
Either 2.4 boxes or 6
Step-by-step explanation:
10% of 40 is 4
60% of 40 is 24
Either 2.4 boxes or 6