Problems illustrate-for the special case of first-order linear equations-techniques that will be important when we study higher-order linear equations in Chapter.
(a) Show that
is a general solution of dy/dx + P(x)y = 0.
(b) Show that
is a particular solution of dy/dx + P(x)y = Q(x).
(c) Suppose that yc(x) is any general solution of dy/dx + P(x)y = 0 and that yp(x) is any particular solution of dy/dx + P(x)y = Q(x). Show that y(x) = yc(x) + yp(x) is a general solution of dy/dx + P(x)y − Q(x).
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.