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Find the equation of the curve passing t...

Find the equation of the curve passing through the point `(0,1),` if the slope of the tangent to the curve at any point `(x,y),` is equal to the sum of `x` coordinate and product of `x` coordinate and `y` coordinate of that point.

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NEW JOYTHI PUBLICATION-DIFFERENTIAL EQUATIONS-OBJECTIVE TYPE QUESTION
  1. Find the equation of the curve passing through the point (0,1), if the...

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  2. The degree of the differential equation [5+((dy)/(dx))^(2)]^(5/3)=x^(5...

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  3. The order and degree of the differential equation (d^(2)y)/(dx^(2))=(1...

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

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  5. The order of the differential equation ((d^(2)y)/(dx^(2)))^(3)=(1+(dy)...

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  6. The order of the differential equation whose solution is y=cosx+bsinx ...

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  7. The order of differential equation of all circles with radius 'a' is.

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

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  9. The number of arbitrary constants in the general solution of a deffere...

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

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  11. The differential equation of the family of all non-vertical lines in a...

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  12. The differential equation of the family of all non-horizontal lines in...

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  13. A solution of the differential equation y'=y is

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  14. The differential equation y.(dy)/(dx)+x=C represents a

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

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  16. The general solution of the differential equation (dy)/(dx)=e^(x-y) is

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  17. A homogeneous differential equation of the form (dy)/(dx)=f((y)/(x)) c...

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  18. A homogeneous differential equation of the form (dy)/(dx)=f((y)/(x)) c...

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  19. Integrating factor of the differential equation cosx(dy)/(dx)+ysinx=1 ...

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  20. The integrating factor of the differential equation (dy)/(dx)+ycotx=co...

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