Solve the differential equation ydx-xdy/xy+2xsinx2dx=0 by using inspection method
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Class 12
>>Maths
>>Differential Equations
>>Introduction to Differential Equations
>>Solution of the different equation, ydx
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Solution of the different equation, ydx−xdy+xy
2
dx=0 can be.
Easy
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Correct option is A)
y
2
ydx−xdy
=d(
y
x
)
Hence,
y
2
ydx−xdy
+xdx=0
d(
y
x
)+xdx=0
Integrating both sides we get,
y
x
+
2
x
2
=C
2x+x
2
y=λy
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