7.4.12 problem 12

Internal problem ID [84]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Section 1.5 (linear equations). Problems at page 54
Problem number : 12
Date solved : Friday, February 07, 2025 at 07:48:47 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }+3 y&=2 x^{5} \end{align*}

With initial conditions

\begin{align*} y \left (2\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.008 (sec). Leaf size: 14

dsolve([x*diff(y(x),x)+3*y(x)=2*x^5,y(2) = 1],y(x), singsol=all)
 

\[ y = \frac {x^{8}-224}{4 x^{3}} \]

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 17

DSolve[{x*D[y[x],x]+3*y[x]==2*x^5,{y[2]==1}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^8-224}{4 x^3} \]