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6. Solve the initial value problem: 4u"(t) + 12u' (t) + 9u(t)=t+t², u(0) = 2, u'(0) = 3.

6. Solve the initial value problem: 4u"(t) + 12u' (t) + 9u(t)=t+t², u(0) = 2, u'(0) = 3.

Advanced Engineering Mathematics
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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Do question 6
dx 3y, y(0) = 0, has a solution. Is it unique? 6. Solve the initial value problem: 4u"(t) + 12u' (t) +9u(t)=t+t², u(0) = 2, u'(0) = 3. 7. Solve the initial value problem: 4u"(t) + 16u' (t) + 12u(t) = 8e-3t, u(0) = 2. u'(0) = 3.
Transcribed Image Text:dx 3y, y(0) = 0, has a solution. Is it unique? 6. Solve the initial value problem: 4u"(t) + 12u' (t) +9u(t)=t+t², u(0) = 2, u'(0) = 3. 7. Solve the initial value problem: 4u"(t) + 16u' (t) + 12u(t) = 8e-3t, u(0) = 2. u'(0) = 3.
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