Answer:

Step-by-step explanation:
y′′ + 4y′ − 21y = 0
The auxiliary equation is given by
m² + 4m - 21 = 0
We solve this using the quadratic formula. So

So, the solution of the equation is

where m₁ = 3 and m₂ = -7.
So,

Also,

Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,


Substituting A into (1) above, we have

Substituting B into A, we have

Substituting A and B into y, we have

So the solution to the differential equation is

Answer:
97656250
Step-by-step explanation:
keep multiplying each term by 5 until you get to the 11th one. the 11th term is 97656250
Take 4 center blocks ole style way. Count it all out 1 by one and build up a safe place and check it once with an angle voice and a line place roof at the top.