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GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper
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© examsnet.com
Question : 17
Total: 65
The ordinary differential equation
d
2
u
d
x
2
−
2
x
2
u
+
sin
x
=
0
is
linear and homogeneous
linear and nonhomogeneous
nonlinear and homogeneous
nonlinear and nonhomogeneous
Validate
Solution:
d
2
x
d
x
2
−
2
x
2
u
+
sin
x
=
0
The degree of all terms is different; hence it is non-homogeneous equation. The given ordinary differential equation is linear because the coefficient of
y
and
y
′
,
y
′
′
is the function of
x
.
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