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(Solved): solve the ivps by sub or elimination dtdx=y+3etdtdy=2x+3y,x(0)=1,y(0)=1 ...

solve the ivps by sub or elimination

$\begin{array}{lc}\frac{d x}{d t}=-y+3 e^{-t} & x(0)=-1, \\ \frac{d y}{d t}=2 x+3 y, & y(0)=1\end{array}$

\frac{d x}{d t} = - y + 3 e^{- t} \frac{d y}{d t} = 2 x + 3 y, x (0) = - 1, y (0) = 1

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Put d/dt=D

Multiple equation (1 by 3 and subtract (1 and (2

Operate equation (1

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