6. Find the value (7) for a solution (x) to the initial value problem: y” + y = sec³ x; y(0) = 1, y’(0) = 1⁄2. -√2 -1 √2 ☐ 2√2

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 34CR
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6. Find the value (7) for a solution (x) to the initial value problem:
y" + y = sec³ x; y(0) = 1, y'(0) = 1.
-√2
√2
2√2
Transcribed Image Text:6. Find the value (7) for a solution (x) to the initial value problem: y" + y = sec³ x; y(0) = 1, y'(0) = 1. -√2 √2 2√2
5. Find the value of o(e) for a solution (x) to the initial value problem:
x²y”−xy' + y = 4x ln x; y(1) = 2, y'(1) = 1.
(Hint: y = x is a solution to x²y" — xy' + y = 0.)
-
ان انت
že +1
-4e + 3
4
e-1
Transcribed Image Text:5. Find the value of o(e) for a solution (x) to the initial value problem: x²y”−xy' + y = 4x ln x; y(1) = 2, y'(1) = 1. (Hint: y = x is a solution to x²y" — xy' + y = 0.) - ان انت že +1 -4e + 3 4 e-1
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