20.4.43 problem Problem 61

Internal problem ID [3678]
Book : Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition, 2015
Section : Chapter 1, First-Order Differential Equations. Section 1.8, Change of Variables. page 79
Problem number : Problem 61
Date solved : Monday, January 27, 2025 at 07:54:34 AM
CAS classification : [_Riccati]

\begin{align*} y^{\prime }+p \left (x \right ) y+q \left (x \right ) y^{2}&=r \left (x \right ) \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x)+p(x)*y(x)+q(x)*y(x)^2=r(x),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x]+p[x]*y[x]+q[x]*y[x]^2==r[x],y[x],x,IncludeSingularSolutions -> True]
 

Not solved