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Beliebt Rechnen >

y^{''}-4y^'-5y=50t^3

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 50 t^{3}

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- t} - 10 t^{3} + 24 t^{2} - \frac{252 t}{5} + \frac{1248}{25}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 5 y = 50 t^{3}

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- t} - 10 t^{3} + 24 t^{2} - \frac{252 t}{5} + \frac{1248}{25}

y = c_{1} e^{5 t} + c_{2} e^{- t} - 10 t^{3} + 24 t^{2} - \frac{252 t}{5} + \frac{1248}{25}

Graph

Beliebte Beispiele

integral of (e^{-x}-e^{2x})/2

\int \frac{e ^{- x} - e ^{2 x}}{2} d x

derivative of (sqrt(x)-3/(sqrt(x)+3))

\frac{d}{d x} (\frac{x - 3}{x + 3})

derivative of m/x

\frac{d}{d x} (\frac{m}{x})

f(t)=(2t)/(t^2+1)

f (t) = \frac{2 t}{t ^{2} + 1}

tangent f(x)= 1/(x^2),\at x=5

t an g e n t f (x) = \frac{1}{x ^{2}}, at x = 5