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The general solution of the differential...

The general solution of the differential equation `(dy)/(dx)+y/x=3x` is

A

y = x - c/x

B

y = x + c/x

C

`y = x^(2) - c/x`

D

`y = x^(2) +c/x`

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The correct Answer is:
C, D
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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2014-QUESTION BANK
  1. Area of the region bounded by two parabolas y = x^(2) and x = y^(2) is

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  2. The order and degree of the differential equation y = x(dy)/(dx) + (2)...

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  3. The general solution of the differential equation (dy)/(dx)+y/x=3x is

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  4. The distance of the point P(a, b, c) from the x-axis is

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  5. Equation of the plane perpendicular to the line x/1=y/2=z/3 and passin...

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  6. The line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) is parallel to the plane

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  7. The angle between two diagonals of a cube is

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  8. The lines : (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k =(y-4)/2 =(z-5)/1 a...

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  9. A and B are two events such that P(A)!=0, P(B//A) is

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  10. Two dice are thrown simultaneously. The probability of obtaining a tot...

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  11. If the events A and B are independent if P(A')=2/3 and P(B')=2/7, then...

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  12. A box contains 100 bulbs, out of which 10 are defective. A sample of 5...

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  13. The area of the parallelogram whose adjacent sides are hati + hatk and...

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  14. If vec(a) and vec(b) are two unit vectors inclined at an angle pi/3, t...

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  15. The value of [vec(a)-vec(b) vec(b)-vec(c) vec(c)-vec(a)] is equal to

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  16. If x+y le 2, x ge 0, y le 0 the point at which maximum value of 3x+2y ...

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  17. If sin theta= sin alpha, then

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  18. If tanx=3/4, pi lt x lt (3 pi)/(2), then the value of cos. x/2 is

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  19. In a triangle ABC, a[b cos C - c cos B]=

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  20. If alpha and beta two different complex numbers with |beta|=1, then |(...

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