5.28 problem 144

Internal problem ID [2892]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 5
Problem number: 144.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_linear]

Solve \begin {gather*} \boxed {y^{\prime } x +x^{2}-y=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 11

dsolve(x*diff(y(x),x)+x^2-y(x) = 0,y(x), singsol=all)
 

\[ y \relax (x ) = \left (-x +c_{1}\right ) x \]

Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 13

DSolve[x y'[x]+x^2-y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to x (-x+c_1) \\ \end{align*}