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



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