Internal problem ID [394]
Book: Differential equations and linear algebra, 4th ed., Edwards and Penney
Section: Chapter 11 Power series methods. Section 11.1 Introduction and Review of power series. Page
615
Problem number: problem 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {2 y^{\prime }+3 y=0} \end {gather*} With the expansion point for the power series method at \(x = 0\).
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 36
Order:=6; dsolve(2*diff(y(x),x)+3*y(x)=0,y(x),type='series',x=0);
\[ y \relax (x ) = \left (1-\frac {3}{2} x +\frac {9}{8} x^{2}-\frac {9}{16} x^{3}+\frac {27}{128} x^{4}-\frac {81}{1280} x^{5}\right ) y \relax (0)+O\left (x^{6}\right ) \]
✓ Solution by Mathematica
Time used: 0.001 (sec). Leaf size: 41
AsymptoticDSolveValue[2*y'[x]+3*y[x]==0,y[x],{x,0,5}]
\[ y(x)\to c_1 \left (-\frac {81 x^5}{1280}+\frac {27 x^4}{128}-\frac {9 x^3}{16}+\frac {9 x^2}{8}-\frac {3 x}{2}+1\right ) \]