Solve the following differential equations. 1. (x+ 2y')=y
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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First 3 part solve
![ΕΧERCISES COMPONET:
Solve the following differential equations.
1. (x+ 2y') =y
dx
2. (2x + 5y + 1)dx - (5x + 2y - 1)dy=0
3. Find the solution of the following differential equation with specified initial
conditions.
(Note: y" = d'y/dx²,y = dyldx etc.)
9y" + 6y' +y= 0,
y(0) = 4, y'(0) =- (13/3)
4. Find the general solution of the following equation on the interval (0, 0).
(Note: y" = d'yldx', y' = dy/dx)
y' +y= 2xsin(x)
5. Find the general solution of the following differential equation.
(Note: y" = dyldx?, y' = dyldx)
y’ -y' +(1/4)y= 3 + e®2)
6. Find the solution, for all x, of the Euler-Cauchy equation given by
xy" - 4xy' + 6y = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F417bc0b2-8b49-4819-bc2c-b41ee8278523%2Fb9834901-e08c-4232-b643-62e183d8bdec%2Fr0h89ly_processed.png&w=3840&q=75)
Transcribed Image Text:ΕΧERCISES COMPONET:
Solve the following differential equations.
1. (x+ 2y') =y
dx
2. (2x + 5y + 1)dx - (5x + 2y - 1)dy=0
3. Find the solution of the following differential equation with specified initial
conditions.
(Note: y" = d'y/dx²,y = dyldx etc.)
9y" + 6y' +y= 0,
y(0) = 4, y'(0) =- (13/3)
4. Find the general solution of the following equation on the interval (0, 0).
(Note: y" = d'yldx', y' = dy/dx)
y' +y= 2xsin(x)
5. Find the general solution of the following differential equation.
(Note: y" = dyldx?, y' = dyldx)
y’ -y' +(1/4)y= 3 + e®2)
6. Find the solution, for all x, of the Euler-Cauchy equation given by
xy" - 4xy' + 6y = 0
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