Mastering SciPy by Blanco-Silva Francisco J

Author:Blanco-Silva, Francisco J.
Language: eng
Format: epub
Publisher: Packt Publishing
Published: 2015-11-09T16:00:00+00:00

The equation has been classified as a member of several types. We can now solve it according to the proper techniques of the corresponding type. For instance, we choose to solve this equation by first assuming that it is separable, and then by computing an approximation of degree four (n=4) to the solution with a power series representation (hint='1st_power_series') around x0=0:

In [5]: ode.dsolve(equation1, hint='separable') Out[5]: f(t) == C1*exp(t) In [6]: ode.dsolve(equation1, hint='1st_power_series', n=4, x0=0.0) Out[6]: f(t) == C0 + C0*t + C0*t**2/2 + C0*t**3/6 + O(t**4)

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