Find the solution to mx00 + cx0 + kx = f(t), x(0) = 0, x0(0) = 0, foranarbitraryfunction f(t),wherem > 0,c > 0,k > 0,andc2−4km < 0(systemisunderdamped). Write the solution as a definite integral

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

so, converting firstly the mixed fractions to improper fractions and then "adding".