4.5 problem 92

Internal problem ID [2843]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 4
Problem number: 92.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_Abel]

Solve \begin {gather*} \boxed {y^{\prime }-\mathit {f0} \relax (x )-\mathit {f1} \relax (x ) y-\mathit {f2} \relax (x ) y^{2}-\mathit {f3} \relax (x ) y^{3}=0} \end {gather*}

Solution by Maple

dsolve(diff(y(x),x) = f0(x)+f1(x)*y(x)+f2(x)*y(x)^2+f3(x)*y(x)^3,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

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

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

Not solved