a) y" +x²y- 2y' = sinx, b) y"+ 4xy' - -y=' + x = 0, x+1 c) x2y' + 3y = 2x*ex.
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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Question
![1-b) [2]: Write the order and degree of the given ODE's. Check either these equations are linear
or non-linear. Also check either the given equations are homogeneous or non-homogeneous.
[CLO-1]
a) y"+ x²y- 2y' = sinx,
b) y"+ 4xy'-y+x = 0.
x+1
c) x2y' + 3y 2x*e*.
d) (y) -5(x – 1)y = 1.
1-c) 14]: Find the general solution of the given ordinary differential equations. [CLO-2||
a) y"+ 4y' +7y 0
b) y"+3y" + 3y' +y = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf2e3a2e-c0ef-474b-aa13-5f01d52d9dfc%2Ff6036670-6461-4065-85ba-c951815ca4a0%2F07zyepq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1-b) [2]: Write the order and degree of the given ODE's. Check either these equations are linear
or non-linear. Also check either the given equations are homogeneous or non-homogeneous.
[CLO-1]
a) y"+ x²y- 2y' = sinx,
b) y"+ 4xy'-y+x = 0.
x+1
c) x2y' + 3y 2x*e*.
d) (y) -5(x – 1)y = 1.
1-c) 14]: Find the general solution of the given ordinary differential equations. [CLO-2||
a) y"+ 4y' +7y 0
b) y"+3y" + 3y' +y = 0
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