Internal problem ID [12453]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 4. N-th Order Linear Differential Equations. Exercises 4.3, page 210
Problem number: 19.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-i y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve([diff(y(x),x)-I*y(x)=0,y(0) = 1],y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{i x} \]
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 12
DSolve[{y'[x]-I*y[x]==0,{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{i x} \]