1. Solve the given differential equation. (a) x²y" - 2y = 0 (b) x²y"+y' = 0 (c) x²y" + xy' + 4y = 0

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 15CR
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1. Solve the given differential equation.
(a) x2y" - 2y = 0
(b) x2y"+y' = 0
(c) x2y" + xy' + 4y = 0
(d) x2y" - 3xy' - 2y = 0
(e) 25 x²y" + 25xy' + y = 0
(f) x²y" + 5xy' + 4y = 0
(g) 3x2y" + 6xy' + y = 0
(h) x³y + xy' - y = 0
(i) x²y" - 3xy' - 2y = 0
(i) x²y" - 4xy' = x5
(k) x2y" - xy' + y = 2x
1
x + 1
(m) xy"+y' = x, y(1) = 1, y'(1) = 0
(1) x²y" + xy' - y =
Transcribed Image Text:1. Solve the given differential equation. (a) x2y" - 2y = 0 (b) x2y"+y' = 0 (c) x2y" + xy' + 4y = 0 (d) x2y" - 3xy' - 2y = 0 (e) 25 x²y" + 25xy' + y = 0 (f) x²y" + 5xy' + 4y = 0 (g) 3x2y" + 6xy' + y = 0 (h) x³y + xy' - y = 0 (i) x²y" - 3xy' - 2y = 0 (i) x²y" - 4xy' = x5 (k) x2y" - xy' + y = 2x 1 x + 1 (m) xy"+y' = x, y(1) = 1, y'(1) = 0 (1) x²y" + xy' - y =
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,