2. The solution of the initial value problem (see attachment) is known to exist on -infinite < t <infinite. What is the constant alpha?
3. Let y(t) be a non-constant solution of the differential equation y' + theta*y = 1, where theta is a real number. For what values of theta is lim y(t) finite? What is the limit in this case?© BrainMass Inc. brainmass.com March 5, 2021, 1:28 am ad1c9bdddf
The equation is:
t dy / dt = 4y = at^2
dy / dt + 4 / ...
The solution shows in detail how to solve these first order differential equations and how to use a phase diagram to obtain information without the need to solve the equation itself.