Write a c++ program that can solve a second order differential equation.

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Write a c++ program that can solve a second order differential equation.

Write a c++ program that can solve a second order differential equation.

Y”+4y’+4y=0. Y(0)=0 and y(1)=3

The program must use the shooting method. in combination with any one of the fourth order runge-kutta methods.the program must prompt the user to provide a first guess of the slop of the at solution at X=0

You can select any step size you consider reasonable;proff of sulatiin will be decided on how well the calculated results match the analytical sulation at x=1 

as part of the presentation of sesults you must prepare an excal plot of the calculated value and the ‘exact’ valuse. The analytixcal soluation is y=3xe^(-2x+2)

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