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Beliebt Rechnen >

y^'+6y=e^{4t},y(0)=2

Lösung

y^{^{'}} + 6 y = e^{4 t}, y (0) = 2

Lösung

y = \frac{e ^{4 t}}{10} + \frac{19}{10 e ^{6 t}}

Schritte zur Lösung

y^{'} (t) + 6 y = e^{4 t}

Solve linear ODE:

y = \frac{e ^{4 t}}{10} + \frac{19}{10 e ^{6 t}}

y = \frac{e ^{4 t}}{10} + \frac{19}{10 e ^{6 t}}

Graph

Beliebte Beispiele

integral of (x^2)/(sqrt(20-4x+x^2))

\int \frac{x ^{2}}{20 - 4 x + x ^{2}} d x

derivative of 0.5sin^2(x-x+1)

\frac{d}{d x} (0.5 sin^{2} (x) - x + 1)

inverselaplace 4/((s+1)^2)

in v erse l a pl a ce \frac{4}{( s + 1 ) ^{2}}

t \cdot y^{^{'}} + t y = 1 - y

laplacetransform t^2*e^{a*t}

l a pl a ce t r an s f or m t^{2} \cdot e^{a \cdot t}