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A solution curve of the differential equ...

A solution curve of the differential equation `(x^2+xy+4x+2y+4)((dy)/(dx))-y^2=0` passes through the point `(1,3)` Then the solution curve is

A

intersects y = x + 2 exactly at one point

B

intersects y = x + 2 exactly at two points

C

intersects y = `( x + 2)^2`

D

does NOT intersects `y = ( x + 3)^2`

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The correct Answer is:
A, D
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MOTION-DIFFERENTIAL EQUATION -Exercise 4
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  9. Let a solution y = y(x) of the differential equation xsqrt(x^2-1) dy -...

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  10. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  11. If. y (x) satisfies the differential equation y' – y tan x = 2x sec x ...

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  12. A curve passes through the point (1,pi/6) . Let the slope of the curve...

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  14. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  15. The function y = f(x) is the solution of the differential equation dy/...

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  16. Let y(x) be a solution of the differential eqution (1 +e^x)y' +ye^x = ...

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  17. Consider the family of all circles whose centers lie on the straigh...

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  18. A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(d...

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  19. If y=y(x) satisfies the differential equation 8sqrt(x)(sqrt(9+sqrt(x))...

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