Consider the following IVP: Consider the following IVP: y' +y = e2* ; y(0) = 0 y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. Find the general solution. A y(t) = A y(x) = c,e¯*+c ze-2' + - sinx 2 COsx ® y(x) = c,+c,e-*+coshx - sinhx B у (1) = re 3 2 -t (C) y(t) = - -cosx + -sinx 2 3 -21 + -e -t © y(x) = c,+c,e*+;cosx -si у (г) e 2 5
Consider the following IVP: Consider the following IVP: y' +y = e2* ; y(0) = 0 y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. Find the general solution. A y(t) = A y(x) = c,e¯*+c ze-2' + - sinx 2 COsx ® y(x) = c,+c,e-*+coshx - sinhx B у (1) = re 3 2 -t (C) y(t) = - -cosx + -sinx 2 3 -21 + -e -t © y(x) = c,+c,e*+;cosx -si у (г) e 2 5
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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Transcribed Image Text:Consider the following IVP:
Consider the following IVP:
y' +y = e2* ; y(0) = 0
y" + y' = -cos x; y(0) = a, y'(0) = b
Find the general solution.
Find the general solution.
A y(t) =
-t
A y(x) = c,e¯*+c ze-2' +
- sinx
2
COsx
® y(x) = c,+c,e-*+coshx - sinhx
B
у (1)
-21
re
=
3
2
-t
(C) y(t) = -
-cosx + -sinx
2
3
-21
y (x) = c,+c,e¬+-cosx –– sinx
2
D y (1)
e
+-e
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