77.1.2 problem 1 (b) (page 9)

Internal problem ID [17892]
Book : V.V. Stepanov, A course of differential equations (in Russian), GIFML. Moscow (1958)
Section : All content
Problem number : 1 (b) (page 9)
Date solved : Tuesday, January 28, 2025 at 11:09:48 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=-x^{3} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 11

dsolve(diff(y(x),x)=-x^3,y(x), singsol=all)
 

\[ y = -\frac {x^{4}}{4}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 15

DSolve[D[y[x],x]==-x^3,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\frac {x^4}{4}+c_1 \]