Decide whether the method of undetermined coefficients together with superposition can be applied to find a particular solution

Question

3 years ago

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Decide whether the method of undetermined coefficients together with superposition can be applied to find a particular solution

of the given equation. Do not solve the equation Can the method of undetermined coefficients together with superposition be applied to find a particular solution of the given equation?
A. No, because the right side of the given equation is not the correct type of function
B, Yes °
C. No, because the differential equation is not linear.
D. No, because the differential equation does not have constant coefficients.

Mathematics

1 answer:

docker41 [41] · Answer 1 · 2022-03-14T08:39:51+03:00

Answer:

D. No, because the differential equation does not have constant coefficients.

Step-by-step explanation:

The undetermined coefficient method cannot be applied to non homogeneous variables. The differential equation does not have constant variables therefore the method of undetermined superposition can not be applied. To complete a solution of non homogeneous equation the particular solution must be added to the homogeneous equation.