If y(t) is a solution of and y(0) = –1, then show that

given: (0,-1) is a solution

To find: solution of the given differential equation

Re-writing the given equation as

It is a first order linear differential equation

Comparing it with

Calculating integrating factor

Formula:

Therefore, the solution of the differential equation is given by

(

Formula:

Substituting (0, -1) to find the value of c

-1=-1+c

c=0

is the solution

therefore y (1) is