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It is known that h1(t)=e3t2, h2(t)=30e3t2 are solutions of the differential equation 4h" - 12h' + bh = 0, then its general solution is given by:

It is known that h1(t)=e3t2, h2(t)=30e3t2 are solutions of the differential equation 4h" - 12h' + bh = 0, then its general solution is given by:

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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It is known that hi(t)=e3t2, h2(t)=30e³t2 are solutions of the differential equation 4h" - 12h' + bh = 0, then its general solution is given by: O a) h(t) = C1e%/2 Ob) h(t) = C1e#/2 + 30C2e²1t/2 O c) h(t) = C1et/2 + 30C2e#/2 O d) h(t) = C1e#/2 + Cztet/2
Transcribed Image Text:It is known that hi(t)=e3t2, h2(t)=30e³t2 are solutions of the differential equation 4h" - 12h' + bh = 0, then its general solution is given by: O a) h(t) = C1e%/2 Ob) h(t) = C1e#/2 + 30C2e²1t/2 O c) h(t) = C1et/2 + 30C2e#/2 O d) h(t) = C1e#/2 + Cztet/2
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