 Hello and welcome to the session, I am Vipika here. Let's discuss a question which says, verify that the given function is the solution of the corresponding differential equation. y is equal to e h to the power x plus 1, phi double dash minus phi dash is equal to 0. Let us first understand when the given function is the solution of the corresponding differential equation. A function which satisfies a differential equation is called its solution. That is when the function is substituted for the unknown y in the given differential equation. If left hand side becomes equal to right hand side, then the given function is the solution of the corresponding differential equation. So, this is a key idea behind our question. We will take the help of this key idea to solve the above question. So, let's start the solution. Now, given function is y is equal to e to the power x plus 1 on differentiating both sides of equation. That is the above equation with respect to x we get dy by dx is equal to e raise to the power x plus 0 because derivative of e raise to the power x is equal to e raise to the power x only or y dash is equal to e raise to the power x. So, let us give this equation as number 1. Now, on differentiating one with respect to x we have y double dash is equal to e raise to the power x again because derivative of e raise to the power x is e raise to the power x only. Let us give this as number 2. Now, we will substitute the values of y dash and y double dash in the given differential equation. If these values satisfies the given differential equation that is if left hand side is equal to right hand side then the function y is equal to e raise to the power x plus 1 is the solution of the given differential equation. So, on substituting the values of y double dash and y dash in the given differential equation we get our left hand side is equal to now the given differential equation was y double dash minus y dash is equal to 0 e raise to the power x minus e raise to the power x and this is equal to 0 and which is our right hand side. Hence, left hand side is equal to right hand side. Therefore, the given function is the solution of the given differential equation. So, this completes our session. I hope the solution is new to you and you have enjoyed the session. Bye and take care.