1.50 problem 50

Internal problem ID [7631]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 50.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_Abel]

Solve \begin {gather*} \boxed {y^{\prime }-f_{3} \relax (x ) y^{3}-f_{2} \relax (x ) y^{2}-f_{1} \relax (x ) y-f_{0} \relax (x )=0} \end {gather*}

Solution by Maple

dsolve(diff(y(x),x) - f__3(x)*y(x)^3 - f__2(x)*y(x)^2 - f__1(x)*y(x) - f__0(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[y'[x] - f3[x]*y[x]^3 - f2[x]*y[x]^2 - f1[x]*y[x] - f0[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved