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Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) = c,e-2 +c,e -cosr- COsr+-sinx B y (x) = c, +c,e¯+ -coshx -- sinhx 2 y (x) = c e* + -2.x + COsr--sinx y (x) = c,+c,e+-cosr -- sinx

Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) = c,e-2 +c,e -cosr- COsr+-sinx B y (x) = c, +c,e¯+ -coshx -- sinhx 2 y (x) = c e* + -2.x + COsr--sinx y (x) = c,+c,e+-cosr -- sinx

Calculus For The Life Sciences
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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) = c,e-+c,e --cosr +-sinx y(x) = c,+c,e¯*+-coshx -- sinhx B 2 © y(x) = c,e+ -2x +-cosr --sinx 2 y(x) = c,+c,e¯*+-cosr -- sinx 2
Transcribed Image Text:Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) = c,e-+c,e --cosr +-sinx y(x) = c,+c,e¯*+-coshx -- sinhx B 2 © y(x) = c,e+ -2x +-cosr --sinx 2 y(x) = c,+c,e¯*+-cosr -- sinx 2
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