Internal problem ID [15074]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 7, Total differential equations. The integrating factor. Exercises page
61
Problem number: 186.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _exact, _rational, _dAlembert]
\[ \boxed {\frac {2 x}{y^{3}}+\frac {\left (y^{2}-3 x^{2}\right ) y^{\prime }}{y^{4}}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 1.5 (sec). Leaf size: 5
dsolve([( 2*x/y(x)^3)+( (y(x)^2-3*x^2)/y(x)^4 )*diff(y(x),x)=0,y(1) = 1],y(x), singsol=all)
\[ y \left (x \right ) = x \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{( 2*x/y[x]^3)+( (y[x]^2-3*x^2)/y[x]^4 )*y'[x]==0,{y[1]==1}},y[x],x,IncludeSingularSolutions -> True]
Timed out