Show that y = e–x + ax + b is solution of the differential equation
The differential equation is 
and the function to be proven as the solution is
y = e–x + ax + b, now we need to find the value of 
.
= –e–x + a
= e–x
Putting the values in equation,
(ex) (e–x) = 1
As, L.H.S = R.H.S. the equation is satisfied, so hence this function is the solution of the differential equation.
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