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Mathematics
Mathematics
Problem
Attempt any one of the following: a. Find the solution of the differential equation
(
x
2
+
y
2
)
d
x
=
2
x
y
d
y
(x^2 + y^2) dx = 2xy dy
(
x
2
+
y
2
)
d
x
=
2
x
y
d
y
b. Find the equation of the curve passing through the origin and satisfying the differential equation
(
1
+
x
2
)
d
y
d
x
+
2
x
y
=
4
x
2
(1 + x^2) \frac{dy}{dx} + 2xy = 4x^2
(
1
+
x
2
)
d
x
d
y
+
2
x
y
=
4
x
2
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