Question 1 Show that y= Question 2 Given that 7 7 5 5 e -15x dy is a particular solution for +15y-21=0. dx dy (3x²y-cos x)+(x²-sin y) = 0. dx a) Test the exactness of the equation. b) Solve the given differential equation. Question 3 Find particular solution of the following initial value problem: 2.x dy xe dx -; y(0)=3. 2y (Hint: Apply tabular method to solve S 2x xedx)
Question 1 Show that y= Question 2 Given that 7 7 5 5 e -15x dy is a particular solution for +15y-21=0. dx dy (3x²y-cos x)+(x²-sin y) = 0. dx a) Test the exactness of the equation. b) Solve the given differential equation. Question 3 Find particular solution of the following initial value problem: 2.x dy xe dx -; y(0)=3. 2y (Hint: Apply tabular method to solve S 2x xedx)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Question 1
Show that y=
Question 2
Given that
7
7
5
5
e
-15x
dy
is a particular solution for
+15y-21=0.
dx
dy
(3x²y-cos x)+(x²-sin y)
= 0.
dx
a)
Test the exactness of the equation.
b)
Solve the given differential equation.
Question 3
Find particular solution of the following initial value problem:
2.x
dy
xe
dx
-; y(0)=3.
2y
(Hint: Apply tabular method to solve
S
2x
xedx)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44139cc2-9f6a-4989-904c-f8119b50ea31%2F07c08f89-2b85-4208-904c-011c1c159870%2F9ro68bq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
Show that y=
Question 2
Given that
7
7
5
5
e
-15x
dy
is a particular solution for
+15y-21=0.
dx
dy
(3x²y-cos x)+(x²-sin y)
= 0.
dx
a)
Test the exactness of the equation.
b)
Solve the given differential equation.
Question 3
Find particular solution of the following initial value problem:
2.x
dy
xe
dx
-; y(0)=3.
2y
(Hint: Apply tabular method to solve
S
2x
xedx)
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