Q. 45 D

Solve the following initial value problem:


Answer :


Find: Find the particular solution of this differential equation.


On equating we get,


= cos y dy = ex dx


Integrating both side


=


= sin y = ex + C …..(i)


Put x = 0, y = π/2


=


= 1 = 1 + C


= C = 0


Put the value of C in equation (i)


Sin y = ex


Hence, y = sin-1(ex)


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