The dynamics of the variable y with respect to variable x is described by the following ODE: dy –x²y – 1.2x² = 0 dx where y(0)=1 The exact solution is given as: у(x) %3D 2.2 еxp°. 0.3333x2 -1.2 Use a...

Please solve urgently

Extracted text: The dynamics of the variable y with respect to variable x is described by the following ODE: dy –x²y – 1.2x² = 0 dx where y(0)=1 The exact solution is given as: у(x) %3D 2.2 еxp°. 0.3333x2 -1.2 Use a fourth-order Runge-Kutta (RK4) numerical algorithm for solving the ODE to find the value of y(0.945), using 3 integration steps. Compare your calculated result with the exact solution and calculate the minimum number of correct significant digits in your answer.