Solve the equation using the method of undetermined coefficients. a) c) d² y_2dy - 8y = 2e² dx² dx d²y dy dx² 2 dx -2y = 3 cos(2x) ** b) d) d² y dx² dy dx +5- +6y=2+x² d²y_dy - 2y = 5e²* 2x dx² dx

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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Question
C
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
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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