Solve the given initial-value problem. y(x) = 5y" + y' = -4x, y(0) = 0, y'(0) = -15 -3375 +3375e (祭)- 2x + 60x Solve the given initial-value problem in which the input function g(x) is discontinuous. [Hint: Solve the problem on two intervals, and then find a solution so that y and y' are continuous at x = π/2.] y" + 4y = g(x), y(0) = 1, y'(0) = 1, where g(x) = [sin(x), 0 ≤x≤π/2 ૧૦, x > π/2 0 ≤ x ≤ π/2 y(x) = ' x > π/2

Solve the given initial-value problem. y(x) = 5y" + y' = -4x, y(0) = 0, y'(0) = -15 -3375 +3375e (祭)- 2x + 60x Solve the given initial-value problem in which the input function g(x) is discontinuous. [Hint: Solve the problem on two intervals, and then find a solution so that y and y' are continuous at x = π/2.] y" + 4y = g(x), y(0) = 1, y'(0) = 1, where g(x) = [sin(x), 0 ≤x≤π/2 ૧૦, x > π/2 0 ≤ x ≤ π/2 y(x) = ' x > π/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 15CR

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