Use the method of Undetermined Coefficients for systems to find the form of a particular solution to the nonhomogeneous system x' A. xp(t) = te a+eb+tc+d (B.)xp(t)=te a+tb+c C. xp(t)= eta + e³b+tc+d D. xp(t) = teta+t²b+tc+d E. xp(t)= t'e' a+eb+tc+d x+ 4e² Let X₁ee) = (atta) + b, et It = te¹ A + TB + C B

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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6. It is known that the general solution of the system
*- )*
=
x
is given by
e³t+
[¹1]
= C1
Use the method of Undetermined Coefficients for systems to find the form of a particular
solution to the nonhomogeneous system
x':
A. x₂(t) = te a+eb+tc+d
(B.x₂(t) = = teta+tb+c
C. xp(t) = ea + e³t b+tc+d
D. xp(t) = tea+t²b+tc+d
E. x₂(t) = t'e' a+e¹b+tc+d
=
et.
x+
4e²
Le+ Xce)= (ater ) t
b, It
= te¹ A + TB + C
IB
Transcribed Image Text:6. It is known that the general solution of the system *- )* = x is given by e³t+ [¹1] = C1 Use the method of Undetermined Coefficients for systems to find the form of a particular solution to the nonhomogeneous system x': A. x₂(t) = te a+eb+tc+d (B.x₂(t) = = teta+tb+c C. xp(t) = ea + e³t b+tc+d D. xp(t) = tea+t²b+tc+d E. x₂(t) = t'e' a+e¹b+tc+d = et. x+ 4e² Le+ Xce)= (ater ) t b, It = te¹ A + TB + C IB
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