Use undetermined coefficients to solve the nonhomogeneous equation
″+11′+28=^(5)++4
a)...
Mathematics, 09.04.2021 08:40 coolkitty35
Use undetermined coefficients to solve the nonhomogeneous equation
″+11′+28=^(5)++4
a) Write the characteristic equation of the associated homogeneous part by using the variable .
b) Write the solution the associated homogeneous part, by using arbitrary constants 1 and 2 for 1 and 2. (Note that: the order of the solutions are very important. You should write first 1 such that 1(−1/4)= and second 2 such that 2(−1/7)=.)
c) Write the form of the any particular solution (we are using ,, etc. for undetermined coefficients for the correspoding functions in in the SAME ORDER.):
and evaluate its derivatives and then found ″
d) Thus evaluate the undetermined coefficients
e) Finally write the general solution y=
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