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Beliebt Rechnen >

y^'+8y=t+e^{-7t}

Lösung

y^{^{'}} + 8 y = t + e^{- 7 t}

Lösung

y = \frac{8 t - 1}{64} + \frac{1}{e ^{7 t}} + \frac{c _{1}}{e ^{8 t}}

Schritte zur Lösung

y^{'} (t) + 8 y = t + e^{- 7 t}

Solve linear ODE:

y = \frac{8 t - 1}{64} + \frac{1}{e ^{7 t}} + \frac{c _{1}}{e ^{8 t}}

y = \frac{8 t - 1}{64} + \frac{1}{e ^{7 t}} + \frac{c _{1}}{e ^{8 t}}

Graph

Beliebte Beispiele

derivative 5x^3-6cos(x)

d er i v a t i v e 5 x^{3} - 6 cos (x)

tangent f(x)= 2/(x-8),(10,1)

t an g e n t f (x) = \frac{2}{x - 8}, (10, 1)

integral of 8/(x^2)

\int \frac{8}{x ^{2}} d x

taylor e^{2x-3},1

t a y l or e^{2 x - 3}, 1

limit as x approaches 2 of 5x^3-6x-1

x \to 2 lim (5 x^{3} - 6 x - 1)