Internal problem ID [4451]
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`]]
\[ \boxed {y+\left (3 x +3 y-4\right ) y^{\prime }=-x} \] With initial conditions \begin {align*} [y \left (1\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.156 (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)
\[ y \left (x \right ) = \frac {2 \operatorname {LambertW}\left (-1, -\frac {3 \,{\mathrm e}^{-\frac {5}{2}+x}}{2}\right )}{3}+2-x \]
✗ 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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