Which of the following pair of graphs intersect? `y=x^2-xa n dy=1` `y=x^2-2xa n dy=sinx` `y=x^2-x+1a n dy=x-4`

Find the angle of intersection of the following curves : y^2=xa n dx^2=y y=x^2a n dx^2+y^2=20 2y^2=x^3a n dy^2=32 x x^2+y^2-4x-1=0a n dx^2+y^2-2y-9=0 (x^2)/(a^2)+(y^2)/(b^2)=1a n dx^2+y^2=a b x^2+4y^2=8a n dx^2-2y^2=2 x^2=27ya n dy^2=8x x^2+y^2=2xa n dy^2=x y=4-x^2a n dy=x^2

(dy)/(dx) = y tan x - 2 sinx

For what value of n is the following a homogeneous differential equation: (dy )/(dx ) = ( x^3 - y^(n ))/( x^2 y+ xy^2 )

Which of the following is not the differential equation of family of curves whose tangent form an angle of (pi)/(4) with the hyperbola xy=c^(2)?(a)(dy)/(dx)=(x-y)/(x+y)(b)(dy)/(dx)=(x)/(x-y)(c)(dy)/(dx)=(x+y)/(x-y) (d)N.O.T.

Which one of the following differential equations represents the family of straight lines which are at unit distance from the origin a) (y-x(dy)/(dx))^2=1-((dy)/(dx))^2 b) (y+x(dy)/(dx))^2=1+((dy)/(dx))^2 c)(y-x(dy)/(dx))^2=1+((dy)/(dx))^2 d) (y+x(dy)/(dx))^2=1-((dy)/(dx))^2

Let a , b ,xa n dy be real numbers such that a-b=1a n dy!=0. If the complex number z=x+i y satisfies I m((a z+b)/(z+1))=y , then which of the following is (are) possible value9s) of x? (a)-1-sqrt(1-y^2) (b) 1+sqrt(1+y^2) (c)-1+sqrt(1-y^2) (d) -1-sqrt(1+y^2)

Solve the following differential equation: (dy)/(dx)+y tan x=x^(n)cos x,n!=-1

If y=x^4+x^a+a^x+a^n then find dy/dx

Find the values of xa n dy if [x+10 y^2+2y0-4]=[3x+4 3 0y^2-5y]

for what value of n is the following a homogeneous differential equation , (dy)/(dx)=(x^(3)+y^(n))/(x^(2)y-xy^(2))