I'll assume the ODE is

Solve the homogeneous ODE,

The characteristic equation

has roots at
and
. Then the characteristic solution is

For nonhomogeneous ODE (1),

consider the ansatz particular solution

Substituting this into (1) gives

For the nonhomogeneous ODE (2),

take the ansatz

Substitute (2) into the ODE to get

Lastly, for the nonhomogeneous ODE (3)

take the ansatz

and solve for
.

Then the general solution to the ODE is

Answer:
Add: $100
Take Out: $25
Total: $835.50
Step-by-step explanation:
A deposit is an amount that is put into the account, by the owner or by someone else.
A withdrawal is an amount that is taken out of the account.
The overall ending balance shows the total amount in the account at the end of the month.
Answer:
The given function is a nonlinear function because the degree of the function is 2 and we get same value of y for more than one values of x.
Step-by-step explanation:
The given function is

To find the points which lie on the function, put difference values of x in the given function and find the values of y.
Put x= -2

Put x= -1

Put x= 0

Put x=1

Put x= 2

The table of values is shown below.
Plot these points on a coordinate plane and connect them by a free hand curve.
The given function is a nonlinear function because the degree of the function is 2 and we get same value of y for more than one values of x.
The graph of function is shown below.
Y = x^2 + 10x - 171
y = (x - 9)(x + 19)
x - 9= 0 x + 19 = 0
x = 9 x = -19
Answer B covers all requirements... the factored form is
y= (x + 19)(x - 9)
and the zeros are -19 and 9