 Hello and welcome to the session. I am Deepika here. Let's discuss a question we see. Verify that the given function is a solution of the corresponding differential equation y is equal to x square plus 2x plus c y dash minus 2x minus 2 is equal to 0. Now we know that a function which satisfies a differential equation is called a 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 a solution of the given differential equation. So let's start the solution. Now here the given differential equation is y dash minus 2x minus 2 is equal to 0 and we have to verify whether the function y is equal to x square plus 2x plus c satisfies it. Now consider the given function. The given function is y is equal to x square plus 2x plus c. Now on differentiating both sides above equation with respect to x we get dy by dx is equal to 2x plus 2 or y dash is equal to 2x plus 2. Let us give this as number one. Now on substituting the value of y dash in the given differential equation we get our left hand side is equal to x plus 2 because y dash is 2x plus 2 minus 2x minus 2 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 you have enjoyed the session. Bye and take care.