b) Solving the DE; dx/dt = (t+x)/t, t>0 x(t) = Int^(t) +Ct with the homogeneous method yields where C is an arbitrary constant. True or False?
b) Solving the DE; dx/dt = (t+x)/t, t>0 x(t) = Int^(t) +Ct with the homogeneous method yields where C is an arbitrary constant. True or False?
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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(b) Solving the DE; dx/dt = (t+x)/t, t>0
x(t) = Int^(t) +Ct
with the homogeneous method yields
where C is an arbitrary constant.
True or False?
(c)The general solution to the DE in the initial value problem (IVP)
y'''+8y'+16y = 0
y(0)= 1
y'(0)=4
.
y(x)=C1xe^(-4x) +Ce^(-4x)
Imposing the initial conditions, the values of the constants C1 and C2 are
C1=
C2=
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