Internal problem ID [13250]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 15. General solutions to Homogeneous linear differential equations. Additional
exercises page 294
Problem number: 15.4.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler], [_2nd_order, _linear, `_with_symmetry_[0,F(x)]`]]
\[ \boxed {x y^{\prime \prime }-y^{\prime }+4 x^{3} y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1, y^{\prime }\left (0\right ) = 4] \end {align*}
✗ Solution by Maple
dsolve([x*diff(y(x),x$2)-diff(y(x),x)+4*x^3*y(x)=0,y(0) = 1, D(y)(0) = 4],y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{x*y''[x]-y'[x]+4*x^3*y[x]==0,{y[0]==1,y'[0]==4}},y[x],x,IncludeSingularSolutions -> True]
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