Internal problem ID [8354]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-y^{2}-3 y=-4} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 25
dsolve(diff(y(x),x) - y(x)^2 -3*y(x) + 4=0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {4 c_{1} {\mathrm e}^{5 x}+1}{-1+c_{1} {\mathrm e}^{5 x}} \]
✓ Solution by Mathematica
Time used: 0.49 (sec). Leaf size: 40
DSolve[y'[x] - y[x]^2 -3*y[x] + 4==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {-1-4 e^{5 (x+c_1)}}{-1+e^{5 (x+c_1)}} y(x)\to -4 y(x)\to 1 \end{align*}