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Byju's Answer
Standard XII
Mathematics
Derivative of Standard Functions
Consider the ...
Question
Consider the differential equation
d
y
d
x
=
cos
x
Then we observe that
A
y
=
sin
x
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B
y
=
sin
x
+
2
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C
y
=
sin
x
−
1
2
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D
y
=
sin
x
+
c
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Solution
The correct option is
D
y
=
sin
x
+
c
d
y
=
cos
x
d
x
∫
d
y
=
∫
cos
x
d
x
y
=
sin
x
+
C
We must add constant "C" as its family of curves.
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