Internal problem ID [15034]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 6. Linear equations of the first order. The Bernoulli equation. Exercises page
54
Problem number: 132.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x \ln \left (x \right ) y^{\prime }-y=3 x^{3} \ln \left (x \right )^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)*x*ln(x)-y(x)=3*x^3*(ln(x))^2,y(x), singsol=all)
\[ y \left (x \right ) = \left (x^{3}+c_{1} \right ) \ln \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 14
DSolve[y'[x]*x*Log[x]-y[x]==3*x^3*(Log[x])^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \left (x^3+c_1\right ) \log (x) \]