Determine the value of the arbitrary constants y(x) = c₁e³ + c₂е¯³ +4sin(x) ; y(0) = 1, y'(0) = -1a. c₁=-2 C₂ = 3b. c₁=2C₂ = -3C. C₁=-2C2 = 4d. c₁= -4C₂ = 3e. c₁=-2C₂ = -4

Answered: Image /qna-images/answer/83cebf2a-9411-4772-87c9-0fb438c0faac.jpg

Answered: Determine 4sin(x); the value of the…

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 2YT

See similar textbooks

Similar questions

y' = x - 4xy
Solve y′ = (x4-x3)y
If y = x(4x + 2), find y'
y=-²2- -24x where y' = y" 3
A rectangular page is to contain 128 square inches of print. The margins at the top and bottom of the page are to be 2 inches wide. The margins on each side are to be 1 inch wide. Let x represent the total width of the printed area in inches, and let y represent the total height of the printed area in inches. Use this information to write an equation for the area of the entire page, A, in terms of x. A(x) = Find A'(x) and A''(x). Find the total dimensions of the page (in inches) that will minimize the amount of paper used. width height
The dosage for a certain type of chemotherapy drug depends on several parameters of the particular drug as well as the age, weight, and sex of the patient. For female patients, the formulas giving the dosage for such drugs are W D=0.85A(c+25) and c = (140-y) 72x' where A and x depend on which drug is used, D is the dosage in milligrams (mg), c is called the creatine clearance, y is the patient's age in years, and w is the patient's weight in kilograms. Complete parts (a) through (e) below. a) Suppose that a patient is a 47-year-old woman and the drug has parameters A = 3 and x = 0.5. Use this information to write formulas for D and c that give D as a function of c, and c as a function of w. D(c) = 2.55c+63.75 c(w) = 2.583w (Simplify your answers. Round to three decimal places as needed.) b) Use your formulas from part (a) to compute dD dc dD dc (Simplify your answer. Round to three decimal places as needed.)
Find all possible functions with the given derivatives. a. y' = 2x b.y' = 2x − 5 c. y' = 3x² – 2x − 5 y=0 a.y- b.y= c. y = -------- BEZEROEKEL C
Find the value of y when x=2 y=1/7(x+5) 4y=5(x-1)
Find the general solution of the equation: xy – y = x²e-* (x > 0)
The dosage for a certain type of chemotherapy drug depends on several parameters of the particular drug as well as the age, weight, and sex of the patient. For female patients, the formulas giving the dosage for such drugs are D = 0.85A(c + 25) and c = (140 - y)= W 72x' where A and x depend on which drug is used, D is the dosage in milligrams (mg), c is called the creatinine clearance, y is the patient's age in years, and w is the patient's weight in kilograms. Complete parts (a) through (e) below. a) Suppose that a patient is a 46-year-old woman and the drug has parameters A=4 and x = 0.5. Use this information to write formulas for D and c that give D as a function of c, and c as a function of w.
6. Find the derivative of y= 2x² (3x - 4). A. 6x³ - 8x² B. 18x² - 16x 7. Find the derivative: f(x) = x sinx A. x\cosx - 4x3sinx B. x cosx + 4x³sinx C. 15x² - 6x D. 6x-4 C. 4x3cosx D. -4x³cosx
x (0) = 1 y (0) = 1 x (1) =? what is the value ?

SEE MORE QUESTIONS

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,

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Determine 4sin(x); the value of the arbitrary constants y(x) = C₁e* + c₂e¯* + y(0) = 1, y'(0) = -1 a. C₁=-2 C₂ = 3 b. c₁=2 C₂ = -3 C. C1=-2 C2 = 4 d. c₁=-4 C2 = 3 e. C₁=-2 C2 = -4 INAT