 Hello and welcome to the session. I am Deepika here. Let's discuss a question which says verify that the given function is a solution of the corresponding differential equation. y is equal to cos x plus c, y dash plus sin x is equal to 0. Let's start the solution. Here the given differential equation is y dash plus sin x is equal to 0 and the given function is y is equal to cos x plus c. Now we have to verify the given function that is y is equal to cos x plus c is the solution of the given differential equation y dash plus sin x is equal to 0. As before, we will find the first derivative of this function and substitute in the given differential equation to see whether it is satisfied or not. So on differentiating both sides of the equation, that is the above equation, with respect to x, we get dy by dx is equal to minus sin x or y dash is equal to minus sin x. Let us give this as number 1. Now on substituting the value of y dash from 1, in given differential equation, we get the left hand side as minus sin x because the given differential equation is y dash plus sin x is equal to 0 and y dash is minus sin x. So the left hand side of the given differential equation becomes minus sin x plus sin x and this is equal to 0, which is our right hand side. Hence left hand side is equal to right hand side. Therefore, the given function is a solution of the given differential equation. So this completes our session. I hope the solution is clear to you and you have enjoyed the session. Bye and take care.