Please solve the following initial value problem:
dx/dt = x^2 - 4, x(0) = 0.
and find the maximal interval of existence of the solution.© BrainMass Inc. brainmass.com October 25, 2018, 7:47 am ad1c9bdddf
Please see attachment for properly formatted copy.
The differential equation is separable. We write
dx/dt = x^2 - 4
and follow the method for separable equations
Now integrate both sides (integral denoted as int)
int dx/(x^2-4)= int dt.
Now int dt=t+C, and int dx/(x^2-4) can be solved by partial ...
Given the first order differential equation, dx/dt = x^2 - 4, x(0) = 0, we solve it using separation of variables and find the maximal interval of existence of the solution.
Interval of existence of an IVP
Please solve the following problem using the step by step method:
Find the unique solution (and proof that it is unique) and the maximal interval of the initial value problem x' = x^3, x(0) = xo for any xo E R.View Full Posting Details