State the degree, order and linearity of the following differential equations. dy (a) x = y² +1 dx dy (b) cos x+y =1 dx %3D d²y (c) dx? +2y=x² dx (d) (3³ +1) – xy² : - dx
State the degree, order and linearity of the following differential equations. dy (a) x = y² +1 dx dy (b) cos x+y =1 dx %3D d²y (c) dx? +2y=x² dx (d) (3³ +1) – xy² : - dx
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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Transcribed Image Text:State the degree, order and linearity of the following differential
equations.
dy
(a) x = y +1
dx
2 dy
(b) cosx-
+y=1
dx
%3D
(c)
d²y
–3 +2y=x²
dy
(d) (y³ +1) – xy².
= x
dx
dx
dx
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