Third-Order Examples For the nonhomogeneous linear DEs in Problem.
(a) Verify that the given y1, y2, y3 satisfy the corresponding homogeneous equation.
(b) Use the Superposition Principle, with appropriate coefficients, to state the general solution yh(t) to the corresponding homogeneous equation.
(c) Verify that the given yp(t) is a particular solution to the given nonhomogeneous DE.
(d) Use the Nonhomogeneous Principle to write the general solution y(t) to the nonhomogeneous DE.
(e) Solve the IVP consisting of the nonhomogeneous DE and the given initial conditions
y″′ − y″ − y′ + y = 2t − 1 + 3e2t
y1(t) = et, y2(t) = tet, y3(t) = e−t
yp(t) = 2t + 1 + e2t
y(0) = 4, y′(0) = 3, y″(0) = 4
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.