Internal problem ID [12479]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 5. The Laplace Transform Method. Exercises 5.3, page 255
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-2 y=6} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 15
dsolve([diff(y(x),x)-2*y(x)=6,y(0) = 2],y(x), singsol=all)
\[ y \left (x \right ) = 2 \,{\mathrm e}^{x} \left (\cosh \left (x \right )+4 \sinh \left (x \right )\right ) \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 14
DSolve[{y'[x]-2*y[x]==6,{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 5 e^{2 x}-3 \]