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]
\[ \boxed {y+\left (1+2 x \right ) y^{\prime }=\left (1+2 x \right )^{\frac {3}{2}}} \]
✓ 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)
\[ y \left (x \right ) = \frac {x^{2}+c_{1} +x}{\sqrt {1+2 x}} \]
✓ Solution by Mathematica
Time used: 0.066 (sec). Leaf size: 43
DSolve[y[x]+(1+2*x)*y'[x] == (1+2*x)^(3/2),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {\frac {x \sqrt {-(2 x+1)^2} (x+1)}{2 x+1}+c_1}{\sqrt {-2 x-1}} \]