Internal problem ID [74]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.5. Linear first order equations. Page 56
Problem number: 21.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {-3 y+y^{\prime } x=x^{4} \cos \left (x \right )} \] With initial conditions \begin {align*} [y \left (2 \pi \right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve([x*diff(y(x),x) = x^4*cos(x)+3*y(x),y(2*Pi) = 0],y(x), singsol=all)
\[ y \left (x \right ) = \sin \left (x \right ) x^{3} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 11
DSolve[{x*y'[x] == x^4*Cos[x]+3*y[x],y[2*Pi]==0},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^3 \sin (x) \]