Answer:
So, solution of the differential equation is
Step-by-step explanation:
We have the given differential equation: y′′+4y=5xcos(2x)
We use the Method of Undetermined Coefficients.
We first solve the homogeneous differential equation y′′+4y=0.
It is a homogeneous solution:
Now, we finding a particular solution.
we get
So, solution of the differential equation is
The value of x of the factored expression when p = 4 and q = -4 is 1008
<h3>Factorisation</h3>
Factorisation is the breaking down of an entity or a mathematical expression.
Therefore,
x = p²q²q + pq - q³ - p³
it cannot be factored
x = p²q³ - q³ - p³ + pq
Therefore,
when p = 4 and q = -4
x = p²q³ - q³ - p³ + pq
x = (4)²(-4)³ - (-4)³ - (4)³ + 4(-4)
x = 16(-64) + 64 - 64 - 16
x = 1024 - 16
x = 1008
learn more on expression here: brainly.com/question/4470031
Answer:
10
Step-by-step explanation:
First substitute x for 2
3(2) + 4
6+4
10 When x is 2 f = 10
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185 = 447 digits in total
