In many physical applications, the nonhomogeneous term F(x) is specified by different formulas in different intervals of x. (a) Find a general solutio

Dottie Parra 2021-06-24 Answered

In many physical applications, the nonhomogeneous term F(x) is specified by different formulas in different intervals of x. (a) Find a general solution of the equation y+y={x,0x1,1x} NoteNote that the solution is not differentiable at x = 1. (b) Find a particular solution of y+y={x,0x1;1,1x} that satises the initial conditions y(0)=0 and y′(0)=1.

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Luvottoq
Answered 2021-06-25 Author has 95 answers
a)y={c1cosx+c2sinx+x,0x1;c1cosx+c2sinx+1,x1
b)y={x,0x1;1,x1
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