Formula $1$ point

Find the general solution to the given differential equation: $y^{\text{'}\text{'}}+(27)y^{\text{'}}+(7^2)y=0$ with $y(0)=100,$ and $y^{\text{'}}(0)=1-1007.$

For $t_0=0\mathrm{.}7,$ find $y(t_0).$

Include at least $3$ decimal places in each step in your calculation.

Use $=3\mathrm{.}14159$ and $e=2\mathrm{.}71828.$