ksawyer745
26.09.2019 •
Mathematics
What is the particular solution of this differential equation 5y'''-y''-6y'=1+x^2
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Ответ:
Consider the homogeneous ODE
which has characteristic equation
which has roots at and , so that the characteristic solution is
For the nonhomogeneous ODE,
we can expect a particular solution of the form
Substituting these expressions into the ODE yields
from which it follows that
and so the particular solution is
and the general solution for is
Integrate both sides once to solve for :
Ответ:
answer:
16
Step-by-step explanation: