Find the particular solution of the differential equation that satisfies the initial condition

Given

=>

=>

=>

=>

when the first order linear ordinary differential equation has the form of

then the general solution is ,

so,

on comparing both we get,

so on solving with the above...

Given

=>

=>

=>

=>

when the first order linear ordinary differential equation has the form of

then the general solution is ,

so,

on comparing both we get,

so on solving with the above general solution we get:

y(x)=

=

first we shall solve

    

so

proceeding further, we get

y(x) =

=

=

=

so now let us find the particular solution of differential equation at y(1)=10

=>

is the solution