Solve:
$dy over dx plus straight y space equals space 1$

Solution

The given differential equation is $dy over dx plus straight y space equals space 1$
Comparing it with $dy over dx plus space straight P space straight y space equals space straight Q comma space we space get comma space space space straight P space equals space 1 comma space space straight Q space equals space 1$
$therefore space space space space integral straight P space dx space equals space integral 1. space dx space equals space straight x therefore space space space straight I. space straight F. space equals space straight e to the power of integral straight P space dx end exponent space equals space straight e to the power of straight x therefore space space space solution space of space differential space equation comma space is space straight y. space straight e to the power of straight x space equals space integral 1. space straight e to the power of straight x space dx space plus straight c or space space space straight y space straight e to the power of straight x space equals space straight e to the power of straight x plus straight c space space space or space space space straight y space equals space 1 plus straight c space straight e to the power of negative straight x end exponent$

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Differential Equations

Solve:
$dy over dx plus straight y space equals space 1$

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