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-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
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