Consider the equation y" - y' – 2y = 8t2. Which of the following is FALSE? 7- In order to find the general solution, we need to find a particular solution to the equation and add to the complementary solution ce 2t O t'is a solution to the equation. -4t2 + 4t – 6 is a particular solution. 2020e-t + 2021e2t-4t2 + 4t – 6 is a solution. If Y, Y2 are two solutions to the equation, then Y1- Y2 = cje+ c2e" for some constants c1, C2. 4e2t – 4t2 +4t- 6 is a solution. y" – y' - 2y = 0 is called the associated homogeneous equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the equation y" - y' – 2y = 8t2. Which of the following is FALSE?
7-
In order to find the general solution, we need to find a particular solution to the equation and add to the complementary solution cje
C2e
2t
O 2'is a solution to the equation.
-4t + 4t – 6 is a particular solution.
2020e-t + 2021e2t-4t2 + 4t – 6 is a solution.
If Y1, Y2 are two solutions to the equation, then Y1- Y2 = ce+ c2e" for some constants c1, C2.
4e2t – 4t2 +4t - 6 is a solution.
y" – y' - 2y = 0 is called the associated homogeneous equation.
Transcribed Image Text:Consider the equation y" - y' – 2y = 8t2. Which of the following is FALSE? 7- In order to find the general solution, we need to find a particular solution to the equation and add to the complementary solution cje C2e 2t O 2'is a solution to the equation. -4t + 4t – 6 is a particular solution. 2020e-t + 2021e2t-4t2 + 4t – 6 is a solution. If Y1, Y2 are two solutions to the equation, then Y1- Y2 = ce+ c2e" for some constants c1, C2. 4e2t – 4t2 +4t - 6 is a solution. y" – y' - 2y = 0 is called the associated homogeneous equation.
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