Ordinary differential equations: Second-order linear ODEs with constant coefficients
Solving homogeneous 2nd order linear ODEs with constant coefficients
Solve the following initial value problem: \[\frac{\dd^2y}{\dd t^2}-\frac{\dd y}{\dd t}-6\, y(t)=0,\qquad y(0)=3, \qquad \frac{\dd y}{\dd t}(0)=-1\]
| \(y(t)={}\) |
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