62.12.3 problem Ex 3

Internal problem ID [12849]
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 19. Summary. Page 29
Problem number : Ex 3
Date solved : Tuesday, January 28, 2025 at 04:27:14 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }-x^{2} y&=x^{5} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 19

dsolve(diff(y(x),x)-x^2*y(x)=x^5,y(x), singsol=all)
 

\[ y = -x^{3}-3+c_{1} {\mathrm e}^{\frac {x^{3}}{3}} \]

✓ Solution by Mathematica

Time used: 0.124 (sec). Leaf size: 24

DSolve[D[y[x],x]-x^2*y[x]==x^5,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -x^3+c_1 e^{\frac {x^3}{3}}-3 \]