44.6.52 problem 52 (b)

Internal problem ID [7196]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 2. First order differential equations. Section 2.3 Linear equations. Exercises 2.3 at page 63
Problem number : 52 (b)
Date solved : Tuesday, February 04, 2025 at 12:46:57 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }-4 y&=x^{6} {\mathrm e}^{x} \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=y_{0} \end{align*}

✗ Solution by Maple

dsolve([x*diff(y(x),x)-4*y(x)=x^6*exp(x),y(0) = y__0],y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{x*D[y[x],x]-4*y[x]==x^6*Exp[x],{y[0]==y0}},y[x],x,IncludeSingularSolutions -> True]
 

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