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4. Use Laplace transforms to solve the following initial value problems. d?x dx (a) +2 +4x = 0 , x(0)= 0 , x'(0)=1 dt? dt d?x dx (b) +6 + 8x = 2e , x(0)= x'(0)= 0 dt2 dt dx + 4x = 3 , x(0)=0 dt (c) dx +4x = 2e-31 dt x(0) = 5 (d) dx + 4x = sin 2t, x(0)=0 dt (e)

4. Use Laplace transforms to solve the following initial value problems. d?x dx (a) +2 +4x = 0 , x(0)= 0 , x'(0)=1 dt? dt d?x dx (b) +6 + 8x = 2e , x(0)= x'(0)= 0 dt2 dt dx + 4x = 3 , x(0)=0 dt (c) dx +4x = 2e-31 dt x(0) = 5 (d) dx + 4x = sin 2t, x(0)=0 dt (e)

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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4. Use Laplace transforms to solve the following initial value problems. d?x dx (a) +2 +4x = 0 , x(0)= 0 , x'(0)=1 dt? dt d?x dx (b) +6 + 8x = 2e , x(0)= x'(0)= 0 dt? dt dx + 4x = 3 , x(0)=0 dt (c) dx +4x = 2e¯31 dt x(0) = 5 (d) dx + 4x = sin 2t , x(0)=0 dt (e)
Transcribed Image Text:4. Use Laplace transforms to solve the following initial value problems. d?x dx (a) +2 +4x = 0 , x(0)= 0 , x'(0)=1 dt? dt d?x dx (b) +6 + 8x = 2e , x(0)= x'(0)= 0 dt? dt dx + 4x = 3 , x(0)=0 dt (c) dx +4x = 2e¯31 dt x(0) = 5 (d) dx + 4x = sin 2t , x(0)=0 dt (e)
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