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The solution of the differential equatio...

The solution of the differential equation `y sec^(2) x dx + tan x . Sec^(2) y dy = 0` is

A

tan x + tan y = k

B

tan x - tan y = k

C

(tan x)/(tan y) = k

D

tan x. tan y = k

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The correct Answer is:
D
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Solution of the differential equation xdy-ydx =0 represents

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  2. Integrating factor of the differential equation cos x dy/dx + y sin x ...

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

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  4. The family y=ax+a^3 of curves is represented by the differential equat...

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  5. Integrating factor of x(dy)/(dx) -y = x^(4) -3x is

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  6. Solution of dy/dx-y =1, y(0) =1 is given by

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  7. The number of solutions of dy/dx = (y+1)/(x-1) when y(1) = 2 is

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  8. Which of the following is a second order differential equation?

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  9. Integrating factor of the differential equation (1-x^(2)) dy/dx- xy =1...

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  10. tan^(-1)x+tan^(-1)y = c is the general solution of the differential eq...

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  11. The differential equation y(dy)/(dx)+x=c represents

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  12. The general solution of e^x cos y dx - e^x sin y dy = 0 is :

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

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  14. The solution of (dy)/(dx)+y=e^(-x),y(0)=0 is :

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  15. Find the general solution of the differential equation (dy)/(dx) = (1 ...

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  16. The integrating factor of (dy)/(dx)+y=(1+y)/x is

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  17. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

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

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  19. The solution of x dy/dx +y = e^(x) is

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  20. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

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