Page 114 - Engineering Mathematics Workbook_Final

Differential Equations & Partial Differential Equations

(a) homogeneous (c) third order linear ordinary
differential equation
(b) nonlinear

(c) second order linear (d) mixed order nonlinear ordinary
differential equation
(d) non homogeneous with constant
coefficients [GATE-1995] [GATE-2010-ME]

2
d y dy 187. The order and degree of the
8
2
184. + ( x + 4x ) + y = x − 8. differential equation
dx 2 dx
3
The above equation is a d y + 4   dy   3 + y = 0 are
2
dx 3   dx    
(a) partial differential equation
respectively.
(b) nonlinear differential equation
(a) 3 and 3 (b) 2 and 3
(c) non-homogeneous differential
equation (c) 3 and 3 (d) 3 and 1

(d) ordinary differential equation [GATE-2010-CE]

[GATE-1999] 188. The partial differential equation
 u  u  2 u
185. The degree of the differential t  + u  x =  x 2 is a

2
d x
equation + 2x = 3 0 is
dt 2 (a) linear equation of order 2

(a) zero (b) 1 (b) non-linear equation of order 1

(c) 2 (d) 3 (c) linear equation of order 1

[GATE-2007-CE] (d) non-linear equation of order 2

186. The Blasius equation, [GATE-2013-ME]
2
3
d t + fd t = LINEARLY DEPENDENT AND
d 3 2d 2 0, is a INDEPENDENT SOLUTIONS

(a) second order nonlinear ordinary 189. Choose the CORRECT set of
differential equation functions, which are linearly
dependent.
(b) third order nonlinear ordinary
2
differential equation (a) sin , sinx 2 x and cos x

(b) cos x, sin x and tan x

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