Internal problem ID [5301]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 6. Equations of first order and first degree (Linear equations). Supplemetary
problems. Page 39
Problem number: 19 (e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {i^{\prime }-6 i=10 \sin \left (2 t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(i(t),t)-6*i(t)=10*sin(2*t),i(t), singsol=all)
\[ i \left (t \right ) = -\frac {\cos \left (2 t \right )}{2}-\frac {3 \sin \left (2 t \right )}{2}+{\mathrm e}^{6 t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.094 (sec). Leaf size: 28
DSolve[i'[t]-6*i[t]==10*Sin[2*t],i[t],t,IncludeSingularSolutions -> True]
\[ i(t)\to -\frac {1}{2} \cos (2 t)+c_1 e^{6 t}-3 \sin (t) \cos (t) \]