Diff. sys. w/ init. val. prob 2nd ord: y"_1=-10y_1+6y_2, y"_2=6y_1-10y_2

[oniyi]

i got a problem solving this Diff. system with initial value problem 2nd order.

y′′₁=−10y₁+6y₂

y′′₂=6y₁−10y₂


y₁(0)=1,y₂(0)=0,y′₁(0)=0,y′₂(0)=0

​

i need the value for:

y₂(pi/2)=?​

according my math script, i got 2 different values and i dont know which one is right or both wrong. my values are: -1 and 0
I hope someone can tell me which one is right or if both are wrong which value would be right, so i can look over and try to find my mistake.
Thx.

 

[stapel]

i got a problem solving this Diff. system with initial value problem 2nd order.

y′′₁ = −10y₁ + 6y₂

y′′₂ = 6y₁ − 10y₂

y₁(0) = 1, y₂(0) = 0, y′₁(0) = 0, y′₂(0) = 0

​

i need the value for:

y₂(pi/2)=?

​

according my math script, i got 2 different values and i dont know which one is right or both wrong.

What do you mean by your "math script"?