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Beliebt Rechnen >

y^'+5y=e^{-3x}

Lösung

y^{^{'}} + 5 y = e^{- 3 x}

Lösung

y = \frac{1}{2 e ^{3 x}} + \frac{c _{1}}{e ^{5 x}}

Schritte zur Lösung

y^{'} (x) + 5 y = e^{- 3 x}

Solve linear ODE:

y = \frac{1}{2 e ^{3 x}} + \frac{c _{1}}{e ^{5 x}}

y = \frac{1}{2 e ^{3 x}} + \frac{c _{1}}{e ^{5 x}}

Graph

Beliebte Beispiele

integral of sin^6(x)cos^5(x)

\int sin^{6} (x) cos^{5} (x) d x

integral of e^x+x^e+e+x

\int e^{x} + x^{e} + e + x d x

derivative f(x)=sin(4x)-cos(3x)

d er i v a t i v e f (x) = sin (4 x) - cos (3 x)

(dy)/(dx)=x^3+x^2-5x+11

\frac{d y}{d x} = x^{3} + x^{2} - 5 x + 11

integral from 1 to 1000 of (21)/(x^3)

\int_{1}^{1000} \frac{21}{x ^{3}} d x