7.4.23 problem 23

Internal problem ID [95]
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 : 23
Date solved : Friday, February 07, 2025 at 07:49:13 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }+\left (2 x -3\right ) y&=4 x^{4} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 16

dsolve(x*diff(y(x),x)+(2*x-3)*y(x)=4*x^4,y(x), singsol=all)
 

\[ y = x^{3} \left (2+c_1 \,{\mathrm e}^{-2 x}\right ) \]

✓ Solution by Mathematica

Time used: 0.032 (sec). Leaf size: 19

DSolve[x*D[y[x],x]+(2*x-3)*y[x]==4*x^4,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^3 \left (2+c_1 e^{-2 x}\right ) \]