Suppose y1 is the solution of the initial value problem \(y''_1 + {a_1}y'_1 + {a_0}{y_1} = 0,{y_1}\left( 0 \right) = 0,y'_1\left( 0 \right) = 5\) and y2 is the solution of the initial value problem \(y''_2 + {a_1}y'_2 + {a_0}{y_2} = 0,{y_2}\left( 0 \right) = 0,y'_2\left( 0 \right) = 1\) that is, the same differential equation and initial condition for the function, but different initial conditions for the derivatives. Then which of the following condition is true.
1
y1(t) = -5y2(t)
2
y2(t) = 5y1(t)
3
y2(t) = -5y1(t)
4
y1(t) = 5y2(t)