Solve the equation using the method of undetermined coefficients. a) c) e) g) d²y_2dy-8y = 2e* dx dx² d²y dy dx² dx d² y dx² - - d³ y dx³ - 2y = 3 cos(2x) dy ·2+ y = 2e* dx =y=2e* b) d) f) bah) d'y dx² d'y dy dx² d² y dx² +5- +6y=2+x² dy dx d³y dx³ - dx 1 +2. - 2y = 5e²x dy dx + 2y = 2+3 sin x 2 d²y d'y dx² dy dx -2y=2+e²x
Solve the equation using the method of undetermined coefficients. a) c) e) g) d²y_2dy-8y = 2e* dx dx² d²y dy dx² dx d² y dx² - - d³ y dx³ - 2y = 3 cos(2x) dy ·2+ y = 2e* dx =y=2e* b) d) f) bah) d'y dx² d'y dy dx² d² y dx² +5- +6y=2+x² dy dx d³y dx³ - dx 1 +2. - 2y = 5e²x dy dx + 2y = 2+3 sin x 2 d²y d'y dx² dy dx -2y=2+e²x
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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A

Transcribed Image Text:Solve the equation using the method of undetermined coefficients.
a)
c)
e)
g)
d² y
dx²
d²y dy
dx² dx
d²y
dx²
29
dx
d³y
dx³
-8y=2e*
--2y = 3 cos(2x)
-2 dy + y = 2e²
dx
3=y=2e*
b)
d)
f)
h)
d² y
dx²
d'y dy
dx²
dx
d²y
dx²
dy
+5+6y=2+x²
dx
dx³
--2y = 5e²*
dy
+2-
dx
+ 2y = 2+3 sin x
d³y_d²y_dy
dx²
+
--2y=2+e²x
dx
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