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The solution of y = x(dy)/(dx) + a sqrt(...

The solution of `y = x(dy)/(dx) + a sqrt(1+((dy)/(dx))^(2))` is

A

y = mx + c

B

`y = mx + asqrt(1+m^(2))`

C

y = mx

D

`y = asqrt(1+m^(2))`

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. The solution of ydx - xdy = xydx is

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  2. Solution of log ((dy)/(dx)) = 3x+4y, y(0) = 0 is

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  3. The solution of y = x(dy)/(dx) + a sqrt(1+((dy)/(dx))^(2)) is

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  4. (dy)/(dx) = xy + x + y +1 has the solution

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  5. The solution of (x^(2)-y^(2)x^(2))(dy//dx) +(y^(2)+x^(2)y^(2)) = 0 is

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  6. The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

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  7. Solution the differential equation (dy)/(dx) + 1 = e^(x+y) is

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  8. The solution of (dy)/(dx) = e^(2x-y) + x^(3) e^(-y) is

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  9. The solution of (dy)/(dx) = tan^(2)(x+y) is

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  10. The solution of (dy)/(dx) = cos(x+y) is

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  11. The solution of (dy)/(dx) = (4x+9y+1)^(2) is

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  12. The equation of the curve through the origin and satifying the differe...

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  13. The equation of curve passing through (1,3) whose slope at any point (...

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  14. The equation of curve passing through (0,1) which is a solution of dif...

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  15. The curve whose sub tangent is twice the abscissa of the point of cont...

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  16. Equation of the curve passing through the point (a,1) and has length o...

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  17. The D.E y(dy)/(dx)+x = a represents

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  18. The solution of (ydx - xdy)/(y^(2)) = 0 represents a family of

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  19. Solve : x dy= (y+x " cos"^(2)(y)/(x))dx

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  20. Solve : x " sin"(y)/(x).(dy)/(dx)=y " sin"(y)/(x)-x

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