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Mathematics
Mathematics
Problem
Show that the function
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
defined by the parametric equations
x
=
e
t
⋅
sin
t
x = e^t \cdot \sin t
x
=
e
t
⋅
sin
t
,
y
=
e
t
⋅
cos
t
y = e^t \cdot \cos t
y
=
e
t
⋅
cos
t
, satisfies the relation
y
′
′
(
x
+
y
)
2
=
2
(
x
y
′
−
y
)
y''(x+y)^2 = 2(xy' - y)
y
′′
(
x
+
y
)
2
=
2
(
x
y
′
−
y
)
.
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