Internal problem ID [14191]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 33.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {4 \left (x -1\right )^{2} y^{\prime }-3 \left (y+3\right )^{2}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 28
dsolve(4*(x-1)^2*diff(y(x),x)-3*(y(x)+3)^2=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (-9 x +9\right ) c_{1} -4 x +13}{-3+\left (3 x -3\right ) c_{1}} \]
✓ Solution by Mathematica
Time used: 0.208 (sec). Leaf size: 37
DSolve[4*(x-1)^2*y'[x]-3*(y[x]+3)^2==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {-4 (1+3 c_1) x+13+12 c_1}{-3+4 c_1 (x-1)} \\ y(x)\to -3 \\ \end{align*}