Formulate a set of first order differential equations and

Question

Formulation of First Order Differential Equations

Question:

We are given the following initial value problem

y'' - √(y² + y'²) = cost, y(0), y'(0) = -4

Formulate a set of first order differential equations and initial values in the variable U₁ = y and U₂ = y' that is equivalent to the above differential equation.

Additional Information:

The problem related to Mathematics and it discuss about formulation of first order differential equations and initial values.