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(Solved): Find the general solution to the homogeneous differential equation \[ \frac{d^{2} y}{d t^{2}}-18 \ ...



Find the general solution to the homogeneous differential equation
\[
\frac{d^{2} y}{d t^{2}}-18 \frac{d y}{d t}+80 y=0
\]
Th

Find the general solution to the homogeneous differential equation \[ \frac{d^{2} y}{d t^{2}}-18 \frac{d y}{d t}+80 y=0 \] The solution can be written in the form \[ y=C_{1} e^{r_{1} t}+C_{2} e^{r_{2} t} \] with \[ r_{1}


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d2ydt2?18dydt+80y=0 This is 2nd order homogeneous differential equation with constant oefficients. To solve this equation, We assume that y=enis a sol
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