First Order Linear Equations
1. Solve the initial value problem and give the explicit solution:
y = y' + 2re^(-9t), y(0) = 3
2. Use an integrating factor to find the solution of the initial value problem: Give an explicit solution and you may assume t > 0.
d(y) + 3t(dy/dt) = t^2 + 1, y(1) = 0
Find the general solution to the given differential equation: dy^2 + 1e^(2r) dr
Use an integrating factor to find the general solution to the following linear equation: You may assume that t > 0.
dy/dt + 19y = e^(t)