Solving second order ODEs

Objective: step_1: Breaing the equation by assuming θ=θ1 step_2: Now differentiate θ with respect to time and equal to θ2 (dθ/dt)=(dθ1/dt)= θ2 step_3: Lets assume d2θdt=ddt(dθdt)=ddtθ2\">d2θdt=ddt(dθdt)=ddtθ2 step_4: From…