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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Question
No.2
![EVALUATE
The following problems are given to assess your ability to solve for
the solution of first – order differential equations
Instructions: Solve for what is asked in each problem. Refer to the format and guidelines
presented in the Assignment Guide.
Obtain the solution of the following differential equations.
1. 2x(y+ 1) dx – ydy = 0 ;
2. y' = cos?x cos y
when x = 0,y = -2
3. (16x + 5y)dx + (3x + y)dy = 0
4. (cos 2y – 3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0
5. (1– xy)-2dx + [y² + x²(1 – xy)-2]dy = 0
6. (y – cos?x)dx + cos x dy = 0
7. L+ Ri = E,where L, R, and E are constants when t = 0, i = 0
the curve to pass through the point (1, –3)
dt
ERSIT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f608309-a4c7-4932-a412-1181ee7909c9%2Ffa81cc82-534e-469c-8077-3f98dd854d23%2Fw113ais_processed.png&w=3840&q=75)
Transcribed Image Text:EVALUATE
The following problems are given to assess your ability to solve for
the solution of first – order differential equations
Instructions: Solve for what is asked in each problem. Refer to the format and guidelines
presented in the Assignment Guide.
Obtain the solution of the following differential equations.
1. 2x(y+ 1) dx – ydy = 0 ;
2. y' = cos?x cos y
when x = 0,y = -2
3. (16x + 5y)dx + (3x + y)dy = 0
4. (cos 2y – 3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0
5. (1– xy)-2dx + [y² + x²(1 – xy)-2]dy = 0
6. (y – cos?x)dx + cos x dy = 0
7. L+ Ri = E,where L, R, and E are constants when t = 0, i = 0
the curve to pass through the point (1, –3)
dt
ERSIT
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