Let y,(t) be a particular solution to the following second-order differential equatio obtained from the method of variation of parameters g" – 23' +: t> 0. Then a general solution y(t) is c;e' + czte' + t°e* ( In(t) – 1) cjet + czte-t + te* ( In(t) – 1) O 2. seçenek O 4. seçenek

Let y,(t) be a particular solution to the following second-order differential equatio obtained from the method of variation of parameters g" – 23' +: t> 0. Then a general solution y(t) is c;e' + czte' + t°e* ( In(t) – 1) cjet + czte-t + te* ( In(t) – 1) O 2. seçenek O 4. seçenek

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Let y,(t) be a particular solution to the following second-order differential equatio
obtained from the method of variation of parameters
g" – 23' +:
t> 0.
Then a general solution y(t) is
c;e' + czte' + t°e* (In(t) – 1)
cjet + cztet + te* ( In(t) – 1)
O 2. seçenek
O 4. seçenek
cje' + czte* + te' (In(t) – t)
cje + czte* + te ( In(t) – 1)
-
O 5. seçenek
3. seçenek
C;e-t + czte¬t + t²e* ( In(t) – 1)

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