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(z - 1)dt + (1 – t)dz %3D

(z - 1)dt + (1 – t)dz %3D

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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Number 4 Identify if homo, varsep, exact, linear in z, linear in t, Bernoulli in z and bernoulli in t, and find the DE

Varsep Homo Exact Linear (H) (E) Linear Bernoulli Bernoulli Differential Equation (VS) in z (Lz) in t (Lt) in z (Bz) in t (Bt) dz dt + -= (0 1 zdt – (z² – 3 - t)dz = 0 2 (z – t)dz = (z + t)dt dt 3 t2 t3 = z² + 3z – 2 dz 4 (z – 1)dt + (1 – t)dz = 0 5 z?dt – (3t² + zt)dz = 0 6 2ztdt + (2 + t²)dz = 0 7 sect dz + csc z tdt = 0
Transcribed Image Text:Varsep Homo Exact Linear (H) (E) Linear Bernoulli Bernoulli Differential Equation (VS) in z (Lz) in t (Lt) in z (Bz) in t (Bt) dz dt + -= (0 1 zdt – (z² – 3 - t)dz = 0 2 (z – t)dz = (z + t)dt dt 3 t2 t3 = z² + 3z – 2 dz 4 (z – 1)dt + (1 – t)dz = 0 5 z?dt – (3t² + zt)dz = 0 6 2ztdt + (2 + t²)dz = 0 7 sect dz + csc z tdt = 0
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