Answer:
The particular solution satisfying the initial condition,
, of the differential equation
is
.
Step-by-step explanation:
A separable differential equation is any differential equation that we can write in the following form.

We may find the solutions to certain separable differential equations by separating variables, integrating with respect to x, and ultimately solving the resulting algebraic equation for y.
To find the solution of the differential equation
you must:
Separate the differential equation and integrate both sides.

Solving 

Therefore,

Now, we use the initial condition
to find the value of the constant E.

Thus,

and we solve for x,
