4. Find the solution of the differentia (10 Points) dy ! = 2x2 dx %3D O y = x³ + O y = x³ + c O y = x³ + cx none of these 5. The general solution to the differer (10 Points) (2r - xy – 2y + 3) dx – (x²y + 2x none of these O x²y? + 4xy – 4x - 6 = c O xy + 4xy = c O x* - x²y² – 4xy + 6x = c

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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4. Find the solution of the differential equation below; *
(10 Points)
dy
dx
y
%D
2x2
O y = x +
O y = x³ + c
O y = x³ + cx
none of these
5. The general solution to the differential equation below is: *
(10 Points)
(2x - xy? – 2y + 3) dx – (x²y + 2x) dy = 0
none of these
O x*y + 4xy - 4x – 6 = c
O xy + 4xy = c
O x* - x²y² – 4xy + 6x = c
6. The general solution to the differential equation below is: *
(10 Points)
x (1 – sin(y)) dy = (cos(x) – cos(y) – y) dx
%3D
O rcos(v) + ry + cos(x) = C
Transcribed Image Text:4. Find the solution of the differential equation below; * (10 Points) dy dx y %D 2x2 O y = x + O y = x³ + c O y = x³ + cx none of these 5. The general solution to the differential equation below is: * (10 Points) (2x - xy? – 2y + 3) dx – (x²y + 2x) dy = 0 none of these O x*y + 4xy - 4x – 6 = c O xy + 4xy = c O x* - x²y² – 4xy + 6x = c 6. The general solution to the differential equation below is: * (10 Points) x (1 – sin(y)) dy = (cos(x) – cos(y) – y) dx %3D O rcos(v) + ry + cos(x) = C
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