Internal problem ID [30]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.4. Separable equations. Page 43
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {\left (x +1\right ) y^{\prime }-4 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 11
dsolve((1+x)*diff(y(x),x) = 4*y(x),y(x), singsol=all)
\[ y \relax (x ) = c_{1} \left (x +1\right )^{4} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 18
DSolve[(1+x)*y'[x] == 4*y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 (x+1)^4 \\ y(x)\to 0 \\ \end{align*}