Determine if y(t) = e-3 and/or y(t) = 9 e' are solutions of the differential equation la) Find y(t) and y(t). y{(t) y" + 3y - 4y = 0. y(t): 2a) Find y(t) and y(t). y₂(t) = 1b) The parts of this question must be completed in order. This part will be available when you complete the part above. Done 1c) The parts of this question must be completed in order. This part will be available when you complete the part above. y(t) = Done 2b) The parts of this question must be completed in order. This part will be available when you complete the part above. 2c) The parts of this question must be completed in order. This part will be available when you complete the part above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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12 Please circle the answer ty!

Determine if y(t) = et and/or y(t) = 9 e' are solutions of
the differential equation
la) Find y(t) and y(t).
y{(t)
y" + 3y - 4y = 0.
y"(t)
2a) Find y(t) and y(t).
y₂(t) =
1b)
The parts of this question must be completed in order. This part will be available
when you complete the part above.
Done
1c) The parts of this question must be completed in order. This part will be available
when you complete the part above.
y(t) =
Done
2b) The parts of this question must be completed in order. This part will be available
when you complete the part above.
2c)
The parts of this question must be completed in order. This part will be available
when you complete the part above.
Transcribed Image Text:Determine if y(t) = et and/or y(t) = 9 e' are solutions of the differential equation la) Find y(t) and y(t). y{(t) y" + 3y - 4y = 0. y"(t) 2a) Find y(t) and y(t). y₂(t) = 1b) The parts of this question must be completed in order. This part will be available when you complete the part above. Done 1c) The parts of this question must be completed in order. This part will be available when you complete the part above. y(t) = Done 2b) The parts of this question must be completed in order. This part will be available when you complete the part above. 2c) The parts of this question must be completed in order. This part will be available when you complete the part above.
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Follow-up Question

12. please answer the ff blanks ty.

Determine if y(t) = e-3t and/or y(t) = 9 e' are solutions of
the differential equation
la) Find y(t) and y(t).
y(t)=-3 e 30
y" + 3y - 4y = 0.
y"(t) =9e-3t
1b) Given that y(t) = -3e-3, and y(t) = 9e-3t, substitute and
simplify the expression y + 3y - 4y.
NOTE: Fully simplify your answer.
y+3y₁ - 4y₁ =
2a) Find y(t) and y(t).
y₂(t) = 9 et
1c) The parts of this question must be completed in order. This part will be available
when you complete the part above.
y(t) = 9 et
Done
2b) Given that y(t) = 9 et and y2 = 9 et, substitute and
simplify the expression y + 3y - 4y2.
NOTE: Fully simplify your answer.
y₂ + 3y₂ - 4y2 =
Done
2c) The parts of this question must be completed in order. This part will be available
when you complete the part above.
Transcribed Image Text:Determine if y(t) = e-3t and/or y(t) = 9 e' are solutions of the differential equation la) Find y(t) and y(t). y(t)=-3 e 30 y" + 3y - 4y = 0. y"(t) =9e-3t 1b) Given that y(t) = -3e-3, and y(t) = 9e-3t, substitute and simplify the expression y + 3y - 4y. NOTE: Fully simplify your answer. y+3y₁ - 4y₁ = 2a) Find y(t) and y(t). y₂(t) = 9 et 1c) The parts of this question must be completed in order. This part will be available when you complete the part above. y(t) = 9 et Done 2b) Given that y(t) = 9 et and y2 = 9 et, substitute and simplify the expression y + 3y - 4y2. NOTE: Fully simplify your answer. y₂ + 3y₂ - 4y2 = Done 2c) The parts of this question must be completed in order. This part will be available when you complete the part above.
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Follow-up Question

please answer the blank, it is a follow up question ty.

Determine if y(t) = e-3t and/or y₂(t) = 9 e are solutions of
the differential equation
la) Find y(t) and y(t).
y(t) = -3 e-3t
y" + 3y - 4y = 0.
y"(t) = 9e-3t
1b) Given that y(t) = -3e-3, and y(t) = 9e-3t, substitute and
simplify the expression y + 3y - 4y.
NOTE: Fully simplify your answer.
y+3y₁ - 4y₁ =
Done
1c)
The parts of this question must be completed in order. This part will be available
when you complete the part above.
2a) Find y(t) and y(t).
y₂(t) = 9 e¹
y(t) = 9 et
2b) Given that y(t) = 9 et and y2 = 9 e¹, substitute and
simplify the expression y2 + 3y2 - 4y2.
NOTE: Fully simplify your answer.
y₂ + 3y₂ - 4y2 =
Done
G.
2c) The parts of this question must be completed in order. This part will be available
when you complete the part above.
Transcribed Image Text:Determine if y(t) = e-3t and/or y₂(t) = 9 e are solutions of the differential equation la) Find y(t) and y(t). y(t) = -3 e-3t y" + 3y - 4y = 0. y"(t) = 9e-3t 1b) Given that y(t) = -3e-3, and y(t) = 9e-3t, substitute and simplify the expression y + 3y - 4y. NOTE: Fully simplify your answer. y+3y₁ - 4y₁ = Done 1c) The parts of this question must be completed in order. This part will be available when you complete the part above. 2a) Find y(t) and y(t). y₂(t) = 9 e¹ y(t) = 9 et 2b) Given that y(t) = 9 et and y2 = 9 e¹, substitute and simplify the expression y2 + 3y2 - 4y2. NOTE: Fully simplify your answer. y₂ + 3y₂ - 4y2 = Done G. 2c) The parts of this question must be completed in order. This part will be available when you complete the part above.
Solution
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