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Exercise 2.3.2 Use whatever technology you have available to sketch a direction field for the given ODE on the specified range. If the ODE is autonomous, visually identify the equilibrium solutions, if any. (а) и'() — и() —2t for 0 <1<2 and 0 < u < 2. (b) и'(1) — и? (г) +1+1 for -2 <1<2 and -2

Exercise 2.3.2 Use whatever technology you have available to sketch a direction field for the given ODE on the specified range. If the ODE is autonomous, visually identify the equilibrium solutions, if any. (а) и'() — и() —2t for 0 <1<2 and 0 < u < 2. (b) и'(1) — и? (г) +1+1 for -2 <1<2 and -2

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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Only need to know how to solve parts b, e, and g

Exercise 2.3.2 Use whatever technology you have available to sketch a direction field for the given ODE on the specified range. If the ODE is autonomous, visually identify the equilibrium solutions, if any. (а) и'(1) — и(t) — 2г for 0 <t<2 and 0 < u < 2. (b) и'(1) — и? (1) +1+1 for -2<t<2 and - 2 <u <2. (с) и'(г) — — и() for -2 <1<2 and — 2 <u < 2. (d) u'(t) = -1/u(t) for –2 <t < 2 and -2 <u < 2. (е) и'(1) — и(t) (и(t) — 3) for - 2 <I<5 and -2 <u <5. () «() — (и(г) — 1)(u(t) + 1) for -2 <1<5 and -2 <u<5. (9) и'(1) — Isin(u) — 1? /4, —2 <18 5 and - 2 <u < 5. (h) и'(г) — сos(и +1) for -2<t<5 and - 2<u< 5.
Transcribed Image Text:Exercise 2.3.2 Use whatever technology you have available to sketch a direction field for the given ODE on the specified range. If the ODE is autonomous, visually identify the equilibrium solutions, if any. (а) и'(1) — и(t) — 2г for 0 <t<2 and 0 < u < 2. (b) и'(1) — и? (1) +1+1 for -2<t<2 and - 2 <u <2. (с) и'(г) — — и() for -2 <1<2 and — 2 <u < 2. (d) u'(t) = -1/u(t) for –2 <t < 2 and -2 <u < 2. (е) и'(1) — и(t) (и(t) — 3) for - 2 <I<5 and -2 <u <5. () «() — (и(г) — 1)(u(t) + 1) for -2 <1<5 and -2 <u<5. (9) и'(1) — Isin(u) — 1? /4, —2 <18 5 and - 2 <u < 5. (h) и'(г) — сos(и +1) for -2<t<5 and - 2<u< 5.
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