74.4.41 problem 41

Internal problem ID [15934]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number : 41
Date solved : Tuesday, January 28, 2025 at 08:23:27 AM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (0\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.012 (sec). Leaf size: 9

dsolve([diff(y(x),x)=x^3,y(0) = 0],y(x), singsol=all)
 

\[ y = \frac {x^{4}}{4} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 12

DSolve[{D[y[x],x]==x^3,{y[0]==0}},y[x],x,IncludeSingularSolutions -> True]
 

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