A particle with mass m moves in the direction of the X axis, under the influence of the following Forces: spring force, air friction force proportional to velocity and other forces (Ft), where k is the spring constant and ẞ is the coefficient of air friction with the relationship ẞ2<4mk. So that the equation of motion can be expressed as: d²x di³ dx -B-kx+F dt If the above equation has the form of a real equation that is: dx 2 dt2 4+4x-F-cos 31+ 2e dt Find the position x (t) of the particle as a function

A particle with mass m moves in the direction of the X axis, under the influence of the following Forces: spring force, air friction force proportional to velocity and other forces (Ft), where k is the spring constant and ẞ is the coefficient of air friction with the relationship ẞ2<4mk. So that the equation of motion can be expressed as: d²x di³ dx -B-kx+F dt If the above equation has the form of a real equation that is: dx 2 dt2 4+4x-F-cos 31+ 2e dt Find the position x (t) of the particle as a function