 Hello friends, welcome to the session. I am going to help you find dy by dx in the following that is ax plus dy square equal to cos y. So, our given equation is ax plus dy square equal to cos y. Now, we will differentiate both sides with respect to x. So, this can be written as a into dy dx of x plus v into dy dx of y square equal to dy dx of cos y. So, this is equal to a into dy dx of x is 1 plus v into dy dx of y square is 2 y dy by dx equal to dy dx of cos y is minus sin y into dy by dx. Now, it can be written as a plus 2 v y dy by dx equal to minus sin y dy by dx. Now, this can also be written as 2 v y dy by dx plus sin y dy by dx equal to minus a. This is equal to on taking dy by dx common, we get 2 v y plus sin y equal to minus a. Therefore, dy by dx equal to minus a upon 2 v y plus sin y. Therefore, dy by dx equal to minus a upon 2 v y plus sin y. So, hope you understood this solution and enjoyed the session. Goodbye and take care.