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 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe38cc688-b545-4be2-9b11-6e87392e9973%2F06b50b14-749e-46bd-a057-31b5b3f3b6b8%2F86xx8x_processed.jpeg&w=3840&q=75)
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage