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The general solution of the differential...

The general solution of the differential equation `(dy)/(dx)+sin((x+y)/2)=sin((x-y)/2)` is

A

`log tan((y)/(2))=C-2sinx`

B

`log tan((y)/(4))=C-2sin((x)/(2))`

C

`log tan ((y)/(2)+(pi)/(4))=C-2 sinx`

D

`log tan ((y)/(2)+(pi)/(4))=C-2 sin (x)/(2)`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Chapter Test
  1. Solve Y-X(dy)/(dx)=a(y^(2)+(dy)/(dx))

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  2. The solution of the differential equation (x+2y^(2))(dy)/(dx)=y, is

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

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  4. The solution of (dy)/(dx)-y=1, y(0)=1 is given by

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  5. The number of solution of y'=(x+1)/(x-1),y(1)=2, is

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  6. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0?

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  7. Solution of the differential equation x(dy)/(dx)=y+sqrt(x^(2)+y^(2)), ...

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  8. Integral curve satisfying Y'=(x^2 +y^2)/(x^2-y^2) y' (1) ne 1 has th...

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  9. The differential equation which represents the family of plane curves ...

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  10. A continuously differentiable function y=f(x) , x in ((-pi)/(2) ,(pi)/...

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  11. The solution of the differential equation (d^(2)y)/(dx^(2))=e^(-2x), i...

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  12. The order and degree of the differential equation (d^(2)y)/(dx^(2))=sq...

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  13. The solution of differential equation (dy)/(dx)=y/x+(phi(y/x))/(phi'(y...

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  14. The solution of the equation log ((dy)/(dx))=a x+b y is (a) ( b ) (...

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  15. tan^(-1) x+tan^(-1)y=C is general solution of the differential equatio...

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  16. ydx-xdy+3x^(2)y^(2)e^(x^(3))dx=0

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  17. The solution of the differential equaton (dy)/(dx)=(x log x^(2)+x)/...

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  18. The solution of the differential equaiton cosxdy=y(sinx-y)dx ,0ltxlt...

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  19. The general solution of e^(x) cos ydx-e^(x) sin ydy=0 is

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  20. The solution of the differential equation (2y-1)dx-(2x+3)dy=0 is -

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