2. The phase portrait of the system = -y, d= consists of DA. ellipses OB. circles OC. parabolas OD. lines through the origin OE. hyperbolas OF. none of the above

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Chapter2: Second-order Linear Odes
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2 nd part question first part answer is  E please solve second part and give solution

Problem 6.
Select the correct answer for each question (only one answer per question). If you select an answer and then change your mind, make sure you uncheck your previous answer.
1. Find the most suitable form (with the minimum amount of terms) for a particular solution of y" +9y=-6e4t+t sin(3t) if the method of undetermined coefficients is used.
DA. yp= Aet + Bt sin(3t)
OB. Yp
= Aet + B sin(3t) + C cos(3t)
OC. yp = Ate4t + Bt sin (3t) + Ct cos(3t)
OD. Yp
DE. Yp
= Aet + (Bt+C) sin(3t) + (Dt + E) cos(3t)
= Aet+t(Bt+ C) sin(3t) + t(Dt + E) cos(3t)
OF. none of the above
2. The phase portrait of the system =
DA. ellipses
OB. circles
OC. parabolas
OD. lines through the origin
OE. hyperbolas
dy
=-Y dt
OF. none of the above
Answer E
= consists of:
Transcribed Image Text:Problem 6. Select the correct answer for each question (only one answer per question). If you select an answer and then change your mind, make sure you uncheck your previous answer. 1. Find the most suitable form (with the minimum amount of terms) for a particular solution of y" +9y=-6e4t+t sin(3t) if the method of undetermined coefficients is used. DA. yp= Aet + Bt sin(3t) OB. Yp = Aet + B sin(3t) + C cos(3t) OC. yp = Ate4t + Bt sin (3t) + Ct cos(3t) OD. Yp DE. Yp = Aet + (Bt+C) sin(3t) + (Dt + E) cos(3t) = Aet+t(Bt+ C) sin(3t) + t(Dt + E) cos(3t) OF. none of the above 2. The phase portrait of the system = DA. ellipses OB. circles OC. parabolas OD. lines through the origin OE. hyperbolas dy =-Y dt OF. none of the above Answer E = consists of:
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