Differential EquationMedium
Question
Solution of the differential equation x
= 1 - ex+y is -
(where c is the constant of integration)
= 1 - ex+y is -(where c is the constant of integration)
Options
A.x = e-y(ex + c)
B.x = ey(ex + c)
C.x = ex(ey + c)
D.x = e-x(ey + c)
Solution
xdy - dx = - ex+y dx
d(e-y.x) = exdx
x = ex+y + cey
x = ey(ex + c)
d(e-y.x) = exdx
x = ex+y + cey
x = ey(ex + c)
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