Internal problem ID [12329]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.2, page 53
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-4 y=-5} \] With initial conditions \begin {align*} [y \left (1\right ) = 4] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve([diff(y(x),x)=4*y(x)-5,y(1) = 4],y(x), singsol=all)
\[ y \left (x \right ) = \frac {11 \,{\mathrm e}^{4 x -4}}{4}+\frac {5}{4} \]
✓ Solution by Mathematica
Time used: 0.043 (sec). Leaf size: 20
DSolve[{y'[x]==4*y[x]-5,{y[1]==4}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {11}{4} e^{4 x-4}+\frac {5}{4} \]