Internal problem ID [4764]
Book: Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley.
2006
Section: Chapter 8, Ordinary differential equations. Section 3. Linear First-Order Equations. page
403
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 x y^{\prime }+y=2 x^{\frac {5}{2}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(2*x*diff(y(x),x)+y(x)=2*x^(5/2),y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{3}+3 c_{1}}{3 \sqrt {x}} \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 22
DSolve[2*x*y'[x]+y[x]==2*x^(5/2),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3+3 c_1}{3 \sqrt {x}} \]