Question

Find the general solution to the homogeneous differential equation

d2ydt2−23dydt+130y=0$$\frac{d^{2}y}{d{t}^2}-23\frac{dy}{dt}+130y=0$$

The solution can be written in the form

y=C1er1t+C2er2t$$y=C_1{e}^{r_{1}t}+C_2{e}^{r_{2}t}$$

with

r1<r2$$r_1<r_2$$

Using this form, r1=$r_1=$  and r2=

Answer 1

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