1. Determine the dau of the given fi Note that som (a) x' = tan sin (d) x' = COS (g) r' = 2x² 2x (j) x² = = +x (m) x' = co
1. Determine the dau of the given fi Note that som (a) x' = tan sin (d) x' = COS (g) r' = 2x² 2x (j) x² = = +x (m) x' = co
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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Transcribed Image Text:1. Determine the type (simple, separable, ratio-dependent, linear, or neither)
dy of the given first-order differential equations. Do not solve the equations.
Note that some equations can be of several types simultaneously.
(a) x' =tan(x/t)
sin x
(d) x'
=
cos t
(g) x' = 2x² +1
2x+t
(j) x' =
=
(m) x'
x + 2t
= cost
(b) x'
(e) x'
(h) x'
= tan x
x
cos t
= 2x + 1
2x² + tx
=
(k) x'
x² + 3t²
(n) x' = cos(t/x)
(c) x' = tant
(f) x':
(i) x'
(1) x'
=
=
=
2x + 1
t+2
x² + t²
2x² + tx
x²+3t
(o) t²r' = √√² ++4.
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