Assignment $5$: Problem $10$

$(1$ point$)$

The system of first order differential equations

$y_1^{\text{'}}=-6y_1+10y_2+1$

$y_2^{\text{'}}=10y_1-6y_2+1$

where $y_1(0)=0,y_2(0)=0$

has solution

$y_1(t)=$

$y_2(t)=$