1. Find the general solution of the differential equation 9 dy dx when (a) r(x) = 0; (b) r(x) = ex; (c) r(x) = e³x; (d) r(x) = x²; (e) r(x) = x²ex. d²y 2 dx² +9y = r(x)
1. Find the general solution of the differential equation 9 dy dx when (a) r(x) = 0; (b) r(x) = ex; (c) r(x) = e³x; (d) r(x) = x²; (e) r(x) = x²ex. d²y 2 dx² +9y = r(x)
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. Find the general solution of the differential equation
-9 dy
dx
when
(a) r(x) = 0;
(b) r(x) = ex;
(c) r(x) = e³x;
(d) r(x) = x²;
(e) r(x) = x²ex.
d²y
2
dx²
+9y = r(x)
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