Calculus UNIT502 What's a DiffEqu?

2421 days ago by MATH4R2013

#84AB1a var('t') a(t)=6*t+6 integrate(a(t),t) 
       
var('A') v(t)=3*t^2 + 6*t + A solve(-9==v(0),A) 
       
v(t)=3*t^2 + 6*t - 9 show(v(t)) 
       
#84AB1c integrate(3*t^2 + 6*t-9,t) 
       
var('B') x(t)=t^3 + 3*t^2 - 9*t + B solve(-27==x(0),B) 
       
x(t)=t^3 + 3*t^2 - 9*t - 27 show(x(t)) 
       
#84AB1b p1=plot(a(t),0,2,color='red') p2=plot(v(t),0,2,color='green') p3=plot(x(t),0,2) (p1+p2+p3)