Consider the differential equation y" 2y' - 3y = 3te²t. - If the fundamental set of solutions to the complementary homogeneous solution is {e³t, et} and the particular solution is Yp -te²t 2 2t Že²², then the general solution to 3 the d.e. is: ○ y = e³t + e²+ - te²t - 2 3 2t 2t - 2 3 ezt y = C₁e³t + C₂et - te²t Оу = 2t = C₁e³t + C₂et - C3 (te² - 2 3t 2t 2 y = C₁e³ + C2e− − Cзte²² - C₁ e²² None of the above. =

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the differential equation y"
2y' - 3y = 3te²t.
-
If the fundamental set of solutions to the
complementary homogeneous solution is
{e³t, et} and the particular solution is Yp
-te²t
2
2t
Že²², then the general solution to
3
the d.e. is:
○
y = e³t + e²+ - te²t
-
2
3
2t
2t
-
2
3 ezt
y = C₁e³t + C₂et - te²t
Оу
=
2t
= C₁e³t + C₂et - C3 (te²
-
2
3t
2t
2
y = C₁e³ + C2e− − Cзte²² - C₁ e²²
None of the above.
=
Transcribed Image Text:Consider the differential equation y" 2y' - 3y = 3te²t. - If the fundamental set of solutions to the complementary homogeneous solution is {e³t, et} and the particular solution is Yp -te²t 2 2t Že²², then the general solution to 3 the d.e. is: ○ y = e³t + e²+ - te²t - 2 3 2t 2t - 2 3 ezt y = C₁e³t + C₂et - te²t Оу = 2t = C₁e³t + C₂et - C3 (te² - 2 3t 2t 2 y = C₁e³ + C2e− − Cзte²² - C₁ e²² None of the above. =
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