Internal problem ID [11147]
Book: An elementary treatise on differential equations by Abraham Cohen. DC heath publishers.
1906
Section: Chapter 2, differential equations of the first order and the first degree. Article 13. Linear
equations of first order. Page 19
Problem number: Ex 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x^{2}+\left (-2 x +1\right ) y=x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(x^2*diff(y(x),x)+(1-2*x)*y(x)=x^2,y(x), singsol=all)
\[ y \left (x \right ) = x^{2} \left (1+{\mathrm e}^{\frac {1}{x}} c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.06 (sec). Leaf size: 19
DSolve[x^2*y'[x]+(1-2*x)*y[x]==x^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2 \left (1+c_1 e^{\frac {1}{x}}\right ) \]