Solved: Consider the differential equation dy/dt = ay + b, where both a and b are
Chapter 1, Problem 3(choose chapter or problem)
Consider the differential equation dy/dt = ay + b, where both a and b are positive numbers. (a) Solve the differential equation. (b) Sketch the solution for several different initial conditions. (c) Describe how the solutions change under each of the following conditions: i. a increases. ii. b increases. iii. Both a and b increase, but the ratio b/a remains the same.
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