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

Given

when the first order linear ordinary Differentian 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...

Given

when the first order linear ordinary Differentian 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

=

=

=

=

=

to find the particular solution of the differential equation we have

on substituting x=0 we get y=1 and so we can find the value of the c

but

=>

=>

so