d[ω(t)]/dt=β(t)
d[ω(t)]=β(t)*dt
ω(t)-ω(t0)=integrate(β,t,t0,t)
ω=ω(t0)+integrate(β,t,t0,t)
上面的integrate是积分,也就是积β,积分上限为t0到t
哦,忘记楼主的方程有θ了,不好意思
β(θ)=dω/dt=dω/dθ*dθ/dt, dθ/dt=ω
β(θ)=dω/dθ*ω
ω*dω=β(θ)*dθ
ω^2/2-(ω0)^2/2=integrate(β(θ),θ,θ0,θ)