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Papers 1 and 2 · Pure
8.7 Integration
Question 1 · 6 marks
Calculator allowed
Spec and skills
Paper scope: Pure 1/2
Spec P8.7
Original practice question
d
y
d
x
=
(
2
x
+
1
)
y
\frac{dy}{dx} = (2x + 1)y
d
x
d
y
=
(
2
x
+
1
)
y
,
y
>
0
y > 0
y
>
0
,
and
y
=
2
y = 2
y
=
2
when
x
=
0
x = 0
x
=
0
.
(a)
Solve the differential equation, giving
y
y
y
in terms of
x
x
x
.
5 marks
x
xⁿ
a/b
√
π
(
)