 Hi and welcome to the session. Let us discuss the following question. Question says determine order and degree of the following differential equation. Given differential equation is y triple dash raised to the power 2 plus cube of y double dash plus y dash raised to the power 4 plus y raised to the power 5 is equal to 0. Let us now start with the solution. Now we are given with differential equation square of y triple dash plus cube of y double dash plus y dash raised to the power 4 plus y raised to the power 5 is equal to 0. First of all we will find order of this differential equation. We know order of a differential equation is the order of the highest order derivative occurring in the given differential equation. Now this is the highest order derivative occurring in this equation. So order of this differential equation is 3. Now we can write the highest order derivative present in the given differential equation is 5 triple dash. So its order is 3. Now we will discuss about degree of this differential equation. Now we know degree of the differential equation is defined only when it is a polynomial equation in its derivatives. Now clearly we can see this differential equation is a polynomial equation in y triple dash y double dash y dash and y. So its degree is defined. Now we know degree of a differential equation is the highest power of the highest order derivative in it. Now highest order derivative in this differential equation is y triple dash and highest power of y triple dash in this equation is 2. So degree of this differential equation is 2. Now we can write given differential equation is a polynomial equation in y triple dash y double dash y dash and y and the highest power raised to y triple dash is 2. So its degree is 2. So we get order of the given differential equation is 3 and degree of the given differential equation is 2. This is our required answer. This completes the session. Hope you understood the solution. Take care and have a nice day.