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The solution of the differential equatio...

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

A

1/(x+y) = c

B

`sin^(x+y) = x+c`

C

`tan^(-1) (x+y) =c`

D

`tan^(-1) (x+y) = x+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 (dy)/(dx)=(x+y)^(2) is

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  4. Let y^(') = e^(-2y) and y = 0 when x = e. Then the value of x when y =...

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  5. The solution of the differential equation dy/dx = xe^(x-y) is

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  6. f(x) and g(x) are two differentiable functions on [0,2] such that f^('...

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  7. The differential equation : (dy)/(dx)=(sqrt(1-y^2))/y determines a fam...

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  8. Tangent is drawn at any point P of a curve which passes through (1,1) ...

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  9. The interval contained in the domain of definition of non-zero solutio...

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  10. Let f be a real values differentiable function on R such that f(1) =1....

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  11. The solution of the differential equation : (1+y^2)+(x-e^(tan^(-1)y...

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  12. The differential equation of all circles which pass through origin and...

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  13. A function y = f(x) has a second order derivative f''(x) =6(x-1). If i...

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  14. If x(dy)/(dx)=y(logy-logx+1), then the solution of the equation is :

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  15. The differential equation whose solution is Ax^2+By^2=1, where A and B...

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  16. The differential equation of family of circles with fixed radius 5 uni...

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  17. The differential equation which represents the family of curves y=c1e^...

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  18. Solution of the differential equation cos x dy = y (sin x - y) dx 0 lt...

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  19. The general solution of y^(2)dx + (x^(2)-xy +y^(2)) dy = 0 is

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  20. The differential equation of the family of parabola with focus at the ...

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