We need to convert the following system of 2nd-order DE into a system of 1st-order DE:
$$3y_1''+6y_1-2y_2=0$$ $$y_2''-2y_1+2y_2=0$$
Then using the following IVPs: $y_1(0)=0, y_1'(0)=0, y_2(0)=1, y_2'(0)=0$, solve the system with Laplace transforms.
We need to convert the following system of 2nd-order DE into a system of 1st-order DE:
$$3y_1''+6y_1-2y_2=0$$ $$y_2''-2y_1+2y_2=0$$
Then using the following IVPs: $y_1(0)=0, y_1'(0)=0, y_2(0)=1, y_2'(0)=0$, solve the system with Laplace transforms.
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