Find the solution to the initial value problem

1. What is initial value problem and solution?
2. Does the initial value problem have a solution?
3. What is the initial value formula?

What is initial value problem and solution?

In multivariable calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem.

Does the initial value problem have a solution?

The IVP always has a unique solution if f and ∂f/∂x are both continuous in a small rectangle containing x0.

What is the initial value formula?

In math, an initial value of a function means that it is the y-intercept of the function. Knowing the y-intercept will help in graph functions. For instance, if the function is f(x)=2x+3 f ( x ) = 2 x + 3 , the y intercept, (initial value) is 3 .