Series solution of ode: sine and cosine

[jchasnov]

Yes, a different differential equation will yield a different series solution

[MrLuescher]

If there were coefficients in the differential equation, would the series be different?

[gino6680]

whats that snake hiss sound?

[MrApplelover15]

what do you mean when you say, "in general we will not have an analytical form for the solution?"

[jchasnov]

@MrApplelover15 I meant that in general, one won't be able to sum the power series and write it as a trigonometric function, exponential function, etc. The final solution will just be an infinite power series.