Consider the initial value problem: y" - y" – y' +y = -e**(4 – 8t), y(0) = 2, y'(0) = 0, y"(0) = 0 Let u, (t) = y(t), u(t) = y'(t), u3(t) = y"(t). The given IVP is equivalent to the system: U'(t) = F(t, U), U(0) = And: *(4 – 8t) + ug + 4z -u 1– 8t) – uz + Uz - u| O The above is correct The above is correct "(4-8t) + ug + uz - . The above is correct O None of the choices

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the initial value problem:
y" - y" – y' +y = -e**(4 – 8t), y(0) = 2, y'(0) = 0, y"(0) = 0
Let u, (t) = y(t), u(t) = y'(t), u3(t) = y"(t). The given IVP is equivalent to the system:
U'(t) = F(t, U), U(0) =
And:
*(4 – 8t) + ug + 4z -u
1– 8t) – uz + Uz - u|
O The above is correct
The above is correct
"(4-8t) + ug + uz - .
The above is correct
O None of the choices
Transcribed Image Text:Consider the initial value problem: y" - y" – y' +y = -e**(4 – 8t), y(0) = 2, y'(0) = 0, y"(0) = 0 Let u, (t) = y(t), u(t) = y'(t), u3(t) = y"(t). The given IVP is equivalent to the system: U'(t) = F(t, U), U(0) = And: *(4 – 8t) + ug + 4z -u 1– 8t) – uz + Uz - u| O The above is correct The above is correct "(4-8t) + ug + uz - . The above is correct O None of the choices
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