Second Order Differential Equation problem

[jayanthd]

I have a small problem in solving a Second Order Linear Constant Coefficient Differential Equation.
Please see the attached image. I understand upto the point above the arrow. What I don't understand is how he got

dy/dx = 9

 

[CAF123]

Have a look at the problem statement again.

 

[jayanthd]

Have a look at the problem statement again.

Thank you very much. I had not seen that the slope dy/dx of the equation was given as 9.