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:
(-9, 9)
Step-by-step explanation:
(Given)
-1 -1 (Getting "x" alone)
(Cont. Getting "x" alone)
÷6 ÷6 ↓
↓
(9 and -9 squared are both equal to 81)
↓ ↓ ↓
x = 9 x = -9 (Answer)
Hope this Helps! :)
<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>
-SGO
Answer:
2.9
Step-by-step explanation:
It just is
Answer:
b. 41.43gallons
Step-by-step explanation:
no of gallon = distance/rate(fuel economy)
=1243/30
=41.4333333333gallons