(See Solution) Consider the first order differential equation (dy)/(dt)=y-t+1 Sketch the slope field for this differential equation. Then sketch an approximate
Question: Consider the first order differential equation
\[\frac{dy}{dt}=y-t+1\]Sketch the slope field for this differential equation. Then sketch an approximate solution that satisfies \(y\left( 0 \right)=2\). Find the general solution by using integrating factor method.
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