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Solution of the differential equation dy...

Solution of the differential equation dy/dx +y/x = sin x is

A

x( y+ cos x) = sin x + c

B

x(y- cos x) = sin x + c

C

x(y cos x) = sin x + c

D

x(y+cos x) = cos x + c

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The correct Answer is:
A
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The general solution of (dy)/(dx) = (ax + h)/(by + k) represents a par...

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  2. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

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  3. Solution of the differential equation dy/dx +y/x = sin x is

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  4. The solution of the differential equation xsqrt(1-y^(2)) dx+y sqrt(1-x...

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  5. Solution of dy/dx + 2xy=y is

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  6. The solution of the differential equation cosx siny dx + sin x cos y d...

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  7. A curve passes through the point (5,3) and at any point (x,y) on it, t...

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  8. A curve passes through the point (2a,a) and at any point the sum of ca...

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  9. If 2f(x) = f^(')(x) and f(0) = 3, then f(2) =

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  10. The equation of a curve passing through (2, 7//2) and having gradient ...

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  11. The differential equation of the family of hyperbolas with asymptotes ...

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  12. A solution of dy/dx = (x+y)/x is

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  13. Solution of dy/dx = y/(x+y) is

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  14. Solution of dy/dx = (x+Y)/(x-y) is

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  15. A population grows at the rate of 5% per year. How long does it take f...

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  16. In a bank, principle p increases continuously at the rate of 5% per ye...

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  17. The rate of increase of bacteria in a culture proportional to the numb...

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  18. The degree of the differential equation ((d^(2)y)/dx^(2))^(3) + ((dy)/...

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  19. The order of the differential equation 2x^(2) (d^(2)y)/dx^(2) - 3 dy/d...

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  20. The number of arbitary constants in the general solution of a differe...

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