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.

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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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) ? ′′ + ? 2? − 2? ′ = ????, b) ? ′′′ + 4?? ′ − ? ?+1 ? −1 + ? = 0, c) ? 2? ′ + 3? = 2? 4? ? . d) (? ′′′) 3 − 5(? − 1)? = 1
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
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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