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(Solved): 4. (W) Find implicit solutions of the differential equations. (a) dxdy=yx2e2x+3y (b) dtdy= ...
4. (W) Find implicit solutions of the differential equations. (a)
d
x
d
y
?
=
y
x
2
?
e
2
x
+
3
y
(b)
d
t
d
y
?
=
sin
2
(
t
)
y
2
(c)
d
t
d
y
?
=
e
?
y
sin
2
(
3
t
)
cos
2
(
3
t
)
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(a) Given differential equation is dydx=x2ye2x+3ySeparating the variables we getye3ydy=x2e2xdxye?3ydy=x2e2xdxApply integration on both sides we get?
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