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

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 (0, (pi)/(4)) whose differential equation is sin x cox y dx + cos x sin y dy = 0.

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 graph of the function y=f(x) passing through the point (0,1) and satisfying the differential equation (dy)/(dx)+ycosx=cosx is such that (a) it is a differential function for all x E R. (b)it is continuous for all x E R. (c) it is periodic . (d) it is passing through(pi,1)

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

The graph of the function y = f(x) passing through the point (0, 1) and satisfying the differential equation (dy)/(dx) + y cos x = cos x is such that

Find the equation of the circle passing through the point (4,1) and (6,5) and whose centre is on the line 4x + y = 16 .