Answer to Question #219637 in Differential Equations for Deba

Question

y(t) = c1 sin t + c2 cost

Answer 1

This the the solution of linear differential equation

d²y/dt²+y=0

It's auxiliary equation is

m²+1=0

It's roots are -i and +i

Thus the solution is

y(t) = c1 sin t + c2 cost