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2 answers:
Answer:
1 - 3/14
2 - 10 5/8
3 - 3/8
4 - 12 1/4
Step-by-step explanation:
numbers 1 and 3 are simple, just multiply the numerators and denominators together.
Numbers 2 and 4, you convert the mixed number to an improper fraction and multiply. Don't forget to switch the answer back to a mixed number if needed!
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Answer:
Answer = 3
Step-by-step explanation:
Constant of proportionality = slope
The homogeneous part of the ODE has characteristic equation
with roots at
, so the characteristic solution would be
As a guess for the solution to the nonhomogeneous part, we can try
Substituting into the ODE gives
so that the particular solution is
and the general solution to the ODE is
Given the initial values, we have
so that the solution to the IVP is
with roots at
As a guess for the solution to the nonhomogeneous part, we can try
Substituting into the ODE gives
so that the particular solution is
and the general solution to the ODE is
Given the initial values, we have
so that the solution to the IVP is