Internal problem ID [149]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 29.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y+\left (1+2 x \right ) y^{\prime }-\left (1+2 x \right )^{\frac {3}{2}}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(y(x)+(1+2*x)*diff(y(x),x) = (1+2*x)^(3/2),y(x), singsol=all)
\[ y \relax (x ) = \frac {x^{2}+x +c_{1}}{\sqrt {1+2 x}} \]
✓ Solution by Mathematica
Time used: 0.065 (sec). Leaf size: 32
DSolve[y[x]+(1+2*x)*y'[x] == (1+2*x)^(3/2),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x (x+1)}{\sqrt {2 x+1}}+\frac {c_1}{\sqrt {-2 x-1}} \\ \end{align*}