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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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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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