Identify Ordinary Differential Equations (ODEs) and write the ODEs in the form of F(t, x, x) = 0, or F(t, x, x, x) = 0, or F(t, y, y) = 0, or F(t, y, y, ÿ) = 0, or F(x, y, y) = 0, or F(x, y, y, y) = 0, or F(z, p, p,p) = 0. a. b. 5x² + 2x² + 2 = 0. C. d. (1 - 3x)ÿ - 2xy + 6y = e. (sin 3) d'y dx² (cos 3) d²x dt² ²u(x1, x2, x3), + Əx² dy dx + T²x = 27 where sin x. 3 where 3 is a scalar parameter. = is a constant. ²u(x1, x2, x3) ²u(x1, x2, x3) əx² dx² + d²x dx f. 2M +3C +2Kx(t) = f(t). dt² dt = 0.
Identify Ordinary Differential Equations (ODEs) and write the ODEs in the form of F(t, x, x) = 0, or F(t, x, x, x) = 0, or F(t, y, y) = 0, or F(t, y, y, ÿ) = 0, or F(x, y, y) = 0, or F(x, y, y, y) = 0, or F(z, p, p,p) = 0. a. b. 5x² + 2x² + 2 = 0. C. d. (1 - 3x)ÿ - 2xy + 6y = e. (sin 3) d'y dx² (cos 3) d²x dt² ²u(x1, x2, x3), + Əx² dy dx + T²x = 27 where sin x. 3 where 3 is a scalar parameter. = is a constant. ²u(x1, x2, x3) ²u(x1, x2, x3) əx² dx² + d²x dx f. 2M +3C +2Kx(t) = f(t). dt² dt = 0.
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:Identify Ordinary Differential Equations (ODEs) and write the ODEs in
the form of F(t, x, x) = 0, or F(t, x, x, x) = 0, or F(t, y, y) = 0, or F(t, y, y, ÿ) = 0, or F(x, y, y) = 0,
or F(x, y, y, y) = 0, or F(z,p, p, p) = 0.
a.
b. 5x²+2x² + 2 = 0.
C.
d.
(1 − 3x)ÿ - 2xy + 6y
e.
(sin 3)
d²y
dx²
(cos 3)
d²x
dt²
²u(x1, x2, x3)
dx²
=
+
dy
dx
sin x.
3 where is a scalar parameter.
-
+T²x = 27 where T is a constant.
²u(x1, x2, x3)
dx²
+
d²x
dx
f. 2M +30. +2Kx(t) = f(t).
dt²
dt
²u(x1, x2, x3)
dx²3
=
0.
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