Question

Need a bit of help if someone has time please?

Answer 1

dx/dt = -4x + 2y

Answer 2

and dy/dt = -5/2x + 2y
how do I find the general solutions of these equations please?

Answer 3

These equations have 3 different variables. x and y are dependent upon t. This means that I think you can simply integrate wrt t

Answer 4

So for equation one\[x(t) = \int\limits_{a}^{b}(-4x+2y) dt\]and equation 2\[y(t)=\int\limits_{a}^{b}((-5/2)x+2y)dt\]

Answer 5

i follow so far, but how would i integrate the RHS with respect to t given that there are no t values on that side?

Answer 6

Just smash a t on to everything\[∫(−4x+2y)dt = -4xt+2yt\]

Answer 7

...(+c)

Answer 8

@hea cheers