Consider the Initial Value Problem

Essay

Consider the initial value problem

This question is related to using the Runge-Kutta method for approximating the solution y at with a step size of h = 0.05.
To find Y₂ , first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places.
(i) K₁ = ________
(ii) K₂ = ________
(iii) K₃ = ________
(iv) K₄= ________
(v) So, using the Runge-Kutta method, Y₂ = ________