?

Differential Equations

Free Version

Upgrade subject to access all content

Easy

System of Differential Equations - 4y(t)

DIFFEQ-NNAJLY

The unknown function $x(t)$ in the system of differential equation:

$$\begin{align}x\prime(t)&=4y(t) \\\ \\\ y\prime(t)&=-x(t)+y(t) \end{align}$$

...satisfies the second order differential equation:

A

$x''(t)+x'(t)-4x(t)=0$

B

$x''(t)-\cfrac{1}{4}x'(t)+4x(t)=0$

C

$x''(t)-x(t)+4x(t)=0$

D

None of the above