6d2ydx2+17dydx+12y=e−x
Answers
Answered by
1
Step-by-step explanation:
x 16
y
16
=(x
2
+y)
17
Taking log
16logx+9logy=17log(x
2
+y)
Differentiating both sides.
⇒
x
16
+
y
9
.y
′
=
x
2
+y
17
(2x+y
′
)
⇒
x
16
−
x
2
+y
34x
=y
′
(
x
2
+y
17
−
4
9
)
⇒
x
2(−9x
2
+8y)
=y
′
(
y
−9x
2
+8y
)
⇒y
′
=
(x)
(2y)
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