Problem 1) determine the value of a and b for which the system has
I. no solution
II. unique solution
III. infinite number of solution
Problem 2) A body of mass m is in rectilinear motion along horizontal axis .the resultant force acting on the body is given by -kx , where k>0 is constant of proportionality and x is the distance along the axis from a fixed point O.the body has initial velocity v=v0, when x=x0
Apply newton's second low and thus write the differential equation of motion in the form
mv(dv/dx)=-kx
Problem 3) find the general solution of equation
