73.1.11 problem 2.3 (a)

Internal problem ID [14989]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 2. Integration and differential equations. Additional exercises. page 32
Problem number : 2.3 (a)
Date solved : Tuesday, January 28, 2025 at 07:27:06 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=4 x^{3} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 9

dsolve(diff(y(x),x)=4*x^3,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 11

DSolve[D[y[x],x]==4*x^3,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^4+c_1 \]