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 AA. xlnx + ylny = cB. 2y = x4 + cx2C. e(x^2) + y2 = cD. x2 = cy3E. x2 y = 2x4 + cF. ylnx + xlny = cG. x2 (x2 + 2y2) = cH. x (y + x2) = c (y – 2x)I. xy2 – x2y + 3x2 – 2y = cJ. xy3 = 2y2 + 4y + 4 + ceyK. y (x2 + c) + 2 = 0L. (y – x) (y + 3x)3 = cx3M. x2 y = 2x2 + cN. x (y + 1) = (1 + cx) eyO. e(-x^2) + y-2 = cP. (y + x2) = c (y – 2x)Q. x2y2 + 2xy – x2 = cR. x4 = c2 (4x2 + y2)S. x2 (x+ 2y) = cT. x2 + y2 – 3xy = cColumn B2y dx = 3x dy(y2 – 2xy + 6x) dx – (x2 – 2xy + 2) dy = 02(y – 4x2) dx + xdy = 0y' = xy2(xy2 + y – x) dx + x (xy + 1) dy = 0(x – y) (4x + y) dx + x (5x – y) dx = 0xy3 dx + e(x^2) dy = 0y dx + (3x – xy + 2) dy = 02 (2x2 + y2) dx – xy dy = 0(x2 + y2) – xy dy = 0(2x – 3y) dx + (2x – 3x) dy = 0x2 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 According to our guidelines , we can answer only…

Answered: 2y dx = 3x dy (y2 – 2xy + 6x) dx – (x2…

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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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 + ce^y

K. y (x² + c) + 2 = 0

L. (y – x) (y + 3x)³ = cx³

M. x² y = 2x² + c

N. x (y + 1) = (1 + cx) e^y

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’ = e^y
(x⁴ + 2y) dx – x dy = 0
(3x² – 2xy + 3y²) dx = 4xydy
(1 + lnx) dx + (1 + lny) dy = 0

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2y dx = 3x dy (y2 – 2xy + 6x) dx – (x2 – 2xy + 2) dy = 0 2(y – 4x2) dx + xdy = 0