The binomial expansion:
a = 2y, b = 4 x^3, n = 4
( x )^3k = x^ 9
k = 3
Answer: the coefficient is
512.
Answer:
The answer is eight.
Step-by-step explanation:
We know that x is eight. That means we can plug eight in for x. If we do that we get 2^8-5. 8-5 is three, so our problem becomes 2^3, which is 8.
keep in mind, that "t" is the time when the train at A station, left towards B station
they met, at some time "t", and by the time that happened, train from A
which started 3 hours earlier, had already covered "d" distance,
whatever that is
and the train coming from B, covered, 600-d, or the difference
Answer:
what do u need help with lol
Step-by-step explanation:
Let
Differentiating twice gives
When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.
Substitute these into the given differential equation:
Then the coefficients in the power series solution are governed by the recurrence relation,
Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.
• If n is even, then n = 2k for some integer k ≥ 0. Then
It should be easy enough to see that
• If n is odd, then n = 2k + 1 for some k ≥ 0. Then
so that
So, the overall series solution is