Question

the following function is used to integrate a system of ODEs.

Answer 1

The solvers are implemented as individual classes which can be useddirectly (low-level usage) or through a convenience function. Solve an initial value problem for a system of ODEs. Explicit Runge-Kutta method of order 3(2).

Answer 2

Function used to integrate a system of ODEs are:

• quad(func, a, b[, args, full_output, …])

This function is used to find a definite integral.

• quad_vec(f, a, b[, epsabs, epsrel, norm, …])

Vector-valued function.

• dblquad(func, a, b, gfun, hfun[, args, …])

This function is used to find a  double integral.

• tplquad(func, a, b, gfun, hfun, qfun, rfun)

This function is used to find a  a triple (definite) integral.

• nquad(func, ranges[, args, opts, full_output])

This function is used to integrate over multiple variables.

• fixed_quad(func, a, b[, args, n])

This function is used to find a definite integral using the fixed-order Gaussian quadrature.

• quadrature(func, a, b[, args, tol, rtol, …])

This function is used to find a definite integral using fixed-tolerance Gaussian quadrature.

• quad_explain([output])

This function is used to print extra information about integrate.quad() parameters and returns.

• newton_cotes(rn[, equal])

This function is used to find a return weights and error coefficient for Newton-Cotes integration.

• IntegrationWarning

This function generates warnings during integration.