Given the following 2nd order ordinary differential equations with constant coefficients, determine the roots of the system (i.e., the roots of the characteristic equation), and provide a general solution to the non-homogenous equation (i.e., coefficients of the general solution should be left arbitrary). d²y dx² dy +a+by=0 dx 1 1 where a = RC' LC' , b = ±²², R = 2000, L = 50mH, and C = 1µF.
Given the following 2nd order ordinary differential equations with constant coefficients, determine the roots of the system (i.e., the roots of the characteristic equation), and provide a general solution to the non-homogenous equation (i.e., coefficients of the general solution should be left arbitrary). d²y dx² dy +a+by=0 dx 1 1 where a = RC' LC' , b = ±²², R = 2000, L = 50mH, and C = 1µF.
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Transcribed Image Text:Given the following 2nd order ordinary differential equations with constant coefficients,
determine the roots of the system (i.e., the roots of the characteristic equation), and provide a general
solution to the non-homogenous equation (i.e., coefficients of the general solution should be left
arbitrary).
d²y
dx²
dy
+a+by=0
dx
1
1
where a =
RC'
LC'
, b = ±²², R = 2000, L = 50mH, and C = 1µF.
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