The corresponding homogeneous ODE has characteristic equation
with roots at
, thus admitting the characteristic solution

For the particular solution, assume one of the form



Substituting into the ODE gives



Then the general solution to this ODE is



Assume a solution of the form



Substituting into the ODE gives



so the solution is



Assume a solution of the form


Substituting into the ODE gives



so the solution is

Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Definition of equilateral.
Definition of equilateral.
Substitution
Angle Addition
Angle Addition
Substitution
Substitution
Definition of equilateral
Definition of equilateral
Side-Angle-Side Congruence*
CPCTC
* SAS Congruence:
PA = BA
∠PAC = ∠QAB
AC = AQ
Answer:
<u>
</u>
Step-by-step explanation:
For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:
<u>
for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
<u>
for (-2,4)</u>

This does give 4 as the answer and is a possible solution.
<u>
for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
<u>
for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
The only possible solution is <u>
</u>
Answer:
3 and -2
Step-by-step explanation:
xy = -6
x + y = 1
let 'x' = y-1
y(y-1) = -6
y² - y + 6 = 0
(y-3)(y+2) = 0
y = 3 and -2