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(1 point) Consider the system of differential equations dx/dt =2y dy/dt=2x. Convert this system to a second order differential equation in y by differentiating the
(1 point) Consider the system of differential equations
dx/dt =2y
dy/dt=2x.
Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation.
Solve the equation you obtained for y as a function of t; hence find x as a function of t. If we also require x(0)=2 and y(0)=3, what are x and y?
x(t)= y(t)=
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