Create a java application that can solve the following
differential equation and boundary condition with the Runge Kutta
method and the secant method.
x' = f(t,x) = x + 0.09x2 + cos(10*t) differential
equation
x(0) + x(1) - 3.0 =
0 boundary
condition
Starting with the initial guesses 0.7 and 1.0 for the (unknown)
initial value, x(0), obtain an approximation to x(0) {for the final
solution, x(t)} such that the boundary condition is satisfied to
within a tolerance of 10-4 ....