Express the solution of the following initial value problem in terms of an integral. dy/dx = 2 + x, y(2 ) = -6

Step-by-step explanation:

Solution:-

- We are given the following initial value problem:

- We will first isolate the variables:

- Perform integration for both sides of the equation:

Where,

                         c: The constant of integration

- We will solve for the constant of integration by using the initial value y ( 0 ) = -6 as follows:

- The final solution can be expressed  as follows: