(dx)/(dt)+x=-e^t

Lösung

\frac{d x}{d t} + x = - e^{t}

x = - \frac{e ^{t}}{2} + \frac{c _{1}}{e ^{t}}

Schritte zur Lösung

\frac{d x}{d t} + x = - e^{t}

Solve linear ODE:

x = - \frac{e ^{t}}{2} + \frac{c _{1}}{e ^{t}}

x = - \frac{e ^{t}}{2} + \frac{c _{1}}{e ^{t}}

\frac{d}{d x} ((3 t^{2} - t + a^{2})^{101})

x \to + 3 + lim (\frac{7}{x - 3})

\frac{\partial}{\partial x} (- 2 y)

\int \frac{a ^{2} + x ^{2}}{x ^{4}} d x

\int \frac{7 x ^{2}}{( x + 1 ) ( x ^{2} + 1 )} d x