First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor find a particular solution for the initial value problem:xy' + y = lnx ; y(e)=1

Step-by-step explanation:

Given is a Differential equation as

To bring it to linear form we can divide the full equation by x

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

Solution is

Use the initial value as y(e) =1

So solution is

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