Ordinary differential equations: Asymptotics and stability
Finding an asymptotic solution
Given is the differential equation \[\frac{\dd y}{\dd t}=t-2y+3\] In the figure below, the slope field and some solution curves have been draw for this differential equation.
Based on this figure you may think that one of the solution curves might be a straight line, namely the black diagonal line.
Determine the equation of this straight line.
| \(y(t)={}\;\) |
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