The equation of the curves through the point (1, 0) and whose slope is `(y-1)/(x^2+x)` is

Find the equation of the curve passing through (1,0) and which has slope 1+(y)/(x) at (x,y)

Find the equation of a curve passing through the point (0,0) and whose differential equation is y' = e^(x) sin x .

Find the equation of a curve passing through the point (0,0) and whose differential equation is y'=e^(x)sinx.

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

Find the equation of the curve passing through the point (1,-1) whose differential equation is xdy=(2x^(2)-1)dx, where xne0 .

Find the equation of the curve passing through the point (1,1) whose differential equation is x dy = (2x^(2) + 1) dx(x ne 0) .

The equation of the cirele which passes through the point (1, 1) and touches the circle x^2+y^2+4x-6y-3=0 at the point (2, 3) on it is

Find the equation of the curve passing through the point (2,-3), given that the slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2))

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.

Find the equation of the curve passing through the point (0, (pi)/(4)) whose differential equation is sin x cox y dx + cos x sin y dy = 0.