Find the general solution fory' = y – xy³e-2*А. 2yе2х — —х2 + сВ. е 2х 3D у? (х? + c)С. 9е2х — у? (х2 + се3*)D. 9ye2x— Зх + 1 + сеЗх

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Answered: Find the general solution for y' = y –…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Suppose dy/dt= 6 ze^(3z^2+2) and y(0)=4. what is y(1)?
Match column B with the correct answer on column A, write only the capital letter of the answer on the blank provided at the left side/right side of the test paper. Match from column A the solution of the differential equations on column B. Column A A. xlnx + ylny = c B. 2y = x4 + cx2 C. e(x^2) + y2 = c D. x2 = cy3 E. x2 y = 2x4 + c F. ylnx + xlny = c G. x2 (x2 + 2y2) = c H. x (y + x2) = c (y – 2x) I. xy2 – x2y + 3x2 – 2y = c J. xy3 = 2y2 + 4y + 4 + cey K. y (x2 + c) + 2 = 0 L. (y – x) (y + 3x)3 = cx3 M. x2 y = 2x2 + c N. x (y + 1) = (1 + cx) ey O. e(-x^2) + y-2 = c P. (y + x2) = c (y – 2x) Q. x2y2 + 2xy – x2 = c R. x4 = c2 (4x2 + y2) S. x2 (x+ 2y) = c T. x2 + y2 – 3xy = c Column B (x – y) (4x + y) dx + x (5x – y) dx = 0 xy3 dx + e(x^2) dy = 0 y dx + (3x – xy + 2) dy = 0 2 (2x2 + y2) dx – xy dy = 0 (x2 + y2) – xy dy = 0 (2x – 3y) dx + (2x – 3x) dy = 0 x2 yy’ = ey (x4 + 2y) dx – x dy = 0 (3x2 – 2xy + 3y2) dx = 4xydy
Match column B with the correct answer on column A, write only the capital letter of the answer on the blank provided at the left side/right side of the test paper. Match from column A the solution of the differential equations on column B. Column A A. xlnx + ylny = c B. 2y = x4 + cx2 C. e(x^2) + y2 = c D. x2 = cy3 E. x2 y = 2x4 + c F. ylnx + xlny = c G. x2 (x2 + 2y2) = c H. x (y + x2) = c (y – 2x) I. xy2 – x2y + 3x2 – 2y = c J. xy3 = 2y2 + 4y + 4 + cey K. y (x2 + c) + 2 = 0 L. (y – x) (y + 3x)3 = cx3 M. x2 y = 2x2 + c N. x (y + 1) = (1 + cx) ey O. e(-x^2) + y-2 = c P. (y + x2) = c (y – 2x) Q. x2y2 + 2xy – x2 = c R. x4 = c2 (4x2 + y2) S. x2 (x+ 2y) = c T. x2 + y2 – 3xy = c Column B (x – y) (4x + y) dx + x (5x – y) dx = 0 xy3 dx + e(x^2) dy = 0 y dx + (3x – xy + 2) dy = 0 2 (2x2 + y2) dx – xy dy = 0 (x2 + y2) – xy dy = 0 (2x – 3y) dx + (2x – 3x) dy = 0 x2 yy’ = ey (x4 + 2y) dx – x dy = 0 (3x2 – 2xy + 3y2) dx = 4xydy (1 + lnx) dx + (1 + lny) dy = 0
Match column B with the correct answer on column A, write only the capital letter of the answer on the blank provided at the left side/right side of the test paper. Match from column A the solution of the differential equations on column B. Column A A. xlnx + ylny = c B. 2y = x4 + cx2 C. e(x^2) + y2 = c D. x2 = cy3 E. x2 y = 2x4 + c F. ylnx + xlny = c G. x2 (x2 + 2y2) = c H. x (y + x2) = c (y – 2x) I. xy2 – x2y + 3x2 – 2y = c J. xy3 = 2y2 + 4y + 4 + cey K. y (x2 + c) + 2 = 0 L. (y – x) (y + 3x)3 = cx3 M. x2 y = 2x2 + c N. x (y + 1) = (1 + cx) ey O. e(-x^2) + y-2 = c P. (y + x2) = c (y – 2x) Q. x2y2 + 2xy – x2 = c R. x4 = c2 (4x2 + y2) S. x2 (x+ 2y) = c T. x2 + y2 – 3xy = c Column B 2y dx = 3x dy (y2 – 2xy + 6x) dx – (x2 – 2xy + 2) dy = 0 2(y – 4x2) dx + xdy = 0 y' = xy2 (xy2 + y – x) dx + x (xy + 1) dy = 0 (x – y) (4x + y) dx + x (5x – y) dx = 0 xy3 dx + e(x^2) dy = 0 y dx + (3x – xy + 2) dy = 0 2 (2x2 + y2) dx – xy dy = 0 (x2 + y2) – xy dy = 0 (2x – 3y) dx + (2x – 3x) dy = 0 x2 yy’ =…
Find a homogeneous linear differential equation with constant coefficients whose general solution is given: y = C1cosh 7x + C2sinh7x y = C1 + C2e2xcos 5x + C3e2xsin 5x y = C1cos x + C2sin x + C3cos 2x + C4sin 2x
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The manufacture of 1 unit of a product has a cost (in dollars) given by C(x, y, z) = 90 + 6x + 4y + z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor. (a) If the cost of the first raw material is $11 per pound, the cost of the second raw material is $8 per pound, and labor costs $17 per work-hour, what will it cost to produce 1 unit of the product (in dollars)? $ (b) Find the partial derivative of C with respect to x. Cx = Interpret the partial derivative of C with respect to x. The cost (in dollars) to manufacture 1 unit of a product will increase by $4 for a $1 increase in y and z if x is held constant.The cost (in dollars) to manufacture 1 unit of a product will increase by $90 for a $1 increase in x if y and z are held constant. The cost (in dollars) to manufacture 1 unit of a product will increase by $4 for a $1 increase in x if y and z are held constant.The cost…
Linear Homogeneous DE with Constant Coefficients
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Find the general solution for y' = y – xy³e-2* A. 2ye2x = -x² + c B. e2x = y²(x² + c) C. 9e2x = y²(x² + ce3*) D. 9ye2* = 3x +1+ ce3*

Find the general solution for y' = y – xy³e-2* A. 2ye2x = -x² + c B. e2x = y²(x² + c) C. 9e2x = y²(x² + ce3) D. 9ye2 = 3x +1+ ce3*