Find the general solution
y
=
c
1
y
1
+
c
2
y
2
+
y
p
\displaystyle {y}={c}_{{1}}{y}_{{1}}+{c}_{{2}}{y}_{{2}}+{y}_{{p}}
y
=
c
1
y
1
+
c
2
y
2
+
y
p
to the ODE
y
′
′
−
y
=
−
x
+
4
y
(
0
)
=
1
,
y
′
(
0
)
=
−
7
\displaystyle {y}{''}-{y}=-{x}+{4}\quad{y}{\left({0}\right)}={1},\quad{y}'{\left({0}\right)}=-{7}
y
′′
−
y
=
−
x
+
4
y
(
0
)
=
1
,
y
′
(
0
)
=
−
7
y
\displaystyle {y}
y
=
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