Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation in yy by differentiating the second equation with respect to tt and substituting for xx 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)=4 y(0)=3, what are x and y?x(t)= y(t)=

Step-by-step explanation:

we have the following differential equations

by differentiating the second equation we have

and we replace dx/dt in the first equation

and by using the characteristic polynomial

the solution is

and to compute x(t) we have

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

I hope this is useful for you

regards

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7

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