Internal problem ID [3943]
Book: Ordinary Differential Equations, By Tenenbaum and Pollard. Dover, NY 1963
Section: Chapter 2. Special types of differential equations of the first kind. Lesson 8
Problem number: Differential equations with Linear Coefficients. Exercise 8.11, page
69.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], _rational, [_Abel, 2nd type, class A]]
Solve \begin {gather*} \boxed {x +y+\left (3 x +3 y-4\right ) y^{\prime }=0} \end {gather*} With initial conditions \begin {align*} [y \relax (1) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.328 (sec). Leaf size: 19
dsolve([(x+y(x))+(3*x+3*y(x)-4)*diff(y(x),x)=0,y(1) = 0],y(x), singsol=all)
\[ y \relax (x ) = \frac {2 \LambertW \left (-1, -\frac {3 \,{\mathrm e}^{x -\frac {5}{2}}}{2}\right )}{3}+2-x \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{(x+y[x])+(3*x+3*y[x]-4)*y'[x]==0,y[1]==0},y[x],x,IncludeSingularSolutions -> True]
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