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