I 44. Solve the initial value problem: EL y""-2y"-y' + 2y = 0; y(0) = 2, y'(0) = 3, y"(0) = 5.

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Chapter1: Functions And Models
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Question 44 please
Section 4.3 Auxiliary Equations with Complex Roots
e
y
t
t
t
]
I
44. Solve the initial value problem:
y""-2y"-y' + 2y = 0;
y(0) = 2, y'(0) = 3, y"(0) = 5.
45. By using Newton's method or some other numerical
cedure to approximate the roots of the auxiliary equa
find general solutions to the following equations:
(a) 3y"" + 18y" + 13y' - 19y = 0.
(b) yiv - 5y" + 5y = 0.
(c) yv-3yiv - 5y"" + 15y" + 4y' - 12y = 0.
46. One way to define hyperbolic functions is by mean
differential equations. Consider the equation y" -y
The hyperbolic cosine, cosh t, is defined as the solu
of this equation subject to the initial values: y (0)
and y' (0) = 0. The hyperbolic sine, sinh t, is define
Transcribed Image Text:Section 4.3 Auxiliary Equations with Complex Roots e y t t t ] I 44. Solve the initial value problem: y""-2y"-y' + 2y = 0; y(0) = 2, y'(0) = 3, y"(0) = 5. 45. By using Newton's method or some other numerical cedure to approximate the roots of the auxiliary equa find general solutions to the following equations: (a) 3y"" + 18y" + 13y' - 19y = 0. (b) yiv - 5y" + 5y = 0. (c) yv-3yiv - 5y"" + 15y" + 4y' - 12y = 0. 46. One way to define hyperbolic functions is by mean differential equations. Consider the equation y" -y The hyperbolic cosine, cosh t, is defined as the solu of this equation subject to the initial values: y (0) and y' (0) = 0. The hyperbolic sine, sinh t, is define
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