Internal problem ID [5509]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz.
McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Problems for Review and Discovery. Page
53
Problem number: 2(f).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class A], _rational, _dAlembert]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {x^{2}+2 y^{2}}{x^{2}-2 y^{2}}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 1] \end {align*}
✗ Solution by Maple
dsolve([diff(y(x),x)=(x^2+2*y(x)^2)/(x^2-2*y(x)^2),y(0) = 1],y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[x]==(x^2+2*y[x]^2)/(x^2-2*y[x]^2),{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
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