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The solution of the differential equatio...

The solution of the differential equation cosx siny dx + sin x cos y dy = 0 is

A

(sin x)/(sin y) = c

B

cos x+ cos y = c

C

sin x + sin y = c

D

sin x. sin y = c

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The correct Answer is:
D
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  3. The solution of the differential equation cosx siny dx + sin x cos y d...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The number of arbitary constants in the particular solution of a diff...

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  19. Which of the following differential equations has y=x as one of its pa...

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  20. Which of the following differential equations has y = c(1)e^(x) + c(2)...

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