Find the equation of a curve passing through the points (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 curve passing through the point (1, 1) whose differential equation is xcdotdy = (2x^2 + 1)cdotdx(xne0)

Find the equation of the curve passing through the point (0,pi/4) whose differential equation is sinx cosy dx + cosx siny dy = 0

Find the equation of a curve passing through the origin and satisfying the differential equation (1+x^2)(dy)/(dx)+2xy=4x^2

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5 = 0 .

Find the equation ofthe 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 a 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 the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of a curve passing through the point (0, –2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

Find the equation of a curve passing through the point (1,pi/4) if the slope of the tangent to the curve at any point P(x,y) is y/x-cos^2(y/x)

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