Internal problem ID [65]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.5. Linear first order equations. Page 56
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {3 y+y^{\prime } x -2 x^{5}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (2) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve([3*y(x)+x*diff(y(x),x) = 2*x^5,y(2) = 1],y(x), singsol=all)
\[ y \relax (x ) = \frac {x^{8}-224}{4 x^{3}} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 17
DSolve[{3*y[x]+x*y'[x] == 2*x^5,y[2]==1},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^8-224}{4 x^3} \\ \end{align*}