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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