Internal problem ID [14918]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 6. Systems of Differential Equations. Exercises 6.1, page 282
Problem number: 1.
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }&=6\\ y^{\prime }\left (t \right )&=\cos \left (t \right ) \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 17
dsolve([diff(x(t),t)=6,diff(y(t),t)=cos(t)],singsol=all)
\begin{align*} x \left (t \right ) &= 6 t +c_{2} \\ y \left (t \right ) &= \sin \left (t \right )+c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.008 (sec). Leaf size: 19
DSolve[{x'[t]==6,y'[t]==Cos[t]},{x[t],y[t]},t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to 6 t+c_1 \\ y(t)\to \sin (t)+c_2 \\ \end{align*}