1.11 problem 2.3 (a)

Internal problem ID [13253]

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).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }=4 x^{3}} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 9

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

\[ y \left (x \right ) = x^{4}+c_{1} \]

Solution by Mathematica

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

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

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