اا ااه ااام 0482018

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Classify the following differential equation

dy

©> -- + 3४ = >
ಫರಕ್‌ ನ)
A) Separable and ೧೦! 1೧68 B) Linear and not separable
C) Both separable and linear D) Neither separable and linear
. .. . . ന്‌ dy 2
Which one of the following is the solution of the differential 900800 1 ನೌ =1+x7?
ல (1+Ce™)(1 B ‏ات‎
‎) (10955849 ನ್‌
C) (1+x)(e"+C) 0) 14069042)
⋅ ⋅⋅ i 02४ dy
Which one of the following is the general solution to the problem 2 +1 णत +y=07?
t it 1 =
ಹಿ) ‏5م در (8 1 0,85 +0051 5م - لا‎ + 5
೨೦0067 40,0601 2 2
C) y=Ce 087 26 आदु 0) டே +06
रिती 5 dy _ >
Which one of the following represents the solution of the differential equation 0 = ‏٦-1‎ ?

A) Family of circles with centre at (0, 0)
B) Family of circles with centre at (0, 1)
C) Family of circles with centre at (1, 0)
D) Family of circles with centre at (0, -1)

Which one of the following is the differential equation of the orthogonal trajectory to the
family of curves y = ‏دايا ,"ب‎ fixed positive integer and ¢ an arbitrary constant ?
A) nyy'+x=0 8( ‏۷۷ہ‎ - × - 0
C) xy'+ny=0 D) xy'—ny=0

Let V be a n-dimensional complex vector space and let W denote the subset of V
defined by {x e V| x =X}, where X denote the conjugate of x. Which one of the following
is not true ?

A) W is a subspace of V B) Wis a real subspace of V

0) ೫/18 ೩ 6೫ ೫6೦1೦ 80809 D) Wis an additive subgroup of V

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