SOLUTION: Let S be the set of all solutions to the differential equation y^n = -y. THe functions y = sinx and y = cosx are solutions and are linearly independent (becasue if asinx+bcosx=0 a
Algebra ->
Proofs
-> SOLUTION: Let S be the set of all solutions to the differential equation y^n = -y. THe functions y = sinx and y = cosx are solutions and are linearly independent (becasue if asinx+bcosx=0 a
Log On
Question 839173: Let S be the set of all solutions to the differential equation y^n = -y. THe functions y = sinx and y = cosx are solutions and are linearly independent (becasue if asinx+bcosx=0 all x then a=b=0). In fact, one can show that B = {sinx, cosx} is a basis of S.
(a) Show that y = sin(x+(pi/3)) is an element of S.
(b) Find the coordinate vector [sin(x+(pi/3)]B Hint: use a trig sum formula Answer by richard1234(7193) (Show Source):
