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)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0388bcf-4f8c-4d4a-b19c-3c3492446ed7%2F4f6e39ac-2d6f-493b-8b50-c83e98b89c3f%2F9dv7avh_processed.jpeg&w=3840&q=75)
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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