Form the differential equation of the family of circles touching the x-axis at origin.
In a bank, principal increases continuously at the rate of 5% per year. In how many years Rs 1000 double itself?
In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years (loge2=0.6931)
The volume of spherical balloon being inflated changes at a constant rate. If initially its radius is 3 units and after 3 seconds it is 6 units. Find the radius of balloon after t seconds.
Find a particular solution of the differential equation dydx+ycotx=1(x=0)4xcosecx(x=0), given that y=0when x=2π
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.
Show that the differential equation 2yeyxdx+(y−2xeyx)dy=0 is homogeneous and find its particular solution, given that, x=0wheny=1.