Internal problem ID [14092]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 55.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=4 x^{3}-x +2} \] With initial conditions \begin {align*} [y \left (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve([diff(y(x),x)=4*x^3-x+2,y(0) = 1],y(x), singsol=all)
\[ y \left (x \right ) = x^{4}-\frac {1}{2} x^{2}+1+2 x \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 20
DSolve[{y'[x]==4*x^3-x+2,{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^4-\frac {x^2}{2}+2 x+1 \]