Internal problem ID [4948]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston.
Pearson 2018.
Section: Chapter 2, First order differential equations. Section 2.2, Separable Equations. Exercises.
page 46
Problem number: 31 part(b.3).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-x y^{3}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.032 (sec). Leaf size: 15
dsolve([diff(y(x),x)=x*y(x)^3,y(0) = 2],y(x), singsol=all)
\[ y \left (x \right ) = \frac {2}{\sqrt {-4 x^{2}+1}} \]
✓ Solution by Mathematica
Time used: 0.097 (sec). Leaf size: 18
DSolve[{y'[x]==x*y[x]^3,{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {2}{\sqrt {1-4 x^2}} \]