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Beliebt Rechnen >

y^{''}-11y^'+24y=280e^t

Lösung

y^{^{''}} - 11 y^{^{'}} + 24 y = 280 e^{t}

Lösung

y = c_{1} e^{8 t} + c_{2} e^{3 t} + 20 e^{t}

Schritte zur Lösung

y^{''} (t) - 11 y^{'} (t) + 24 y = 280 e^{t}

Solve linear ODE:

y = c_{1} e^{8 t} + c_{2} e^{3 t} + 20 e^{t}

y = c_{1} e^{8 t} + c_{2} e^{3 t} + 20 e^{t}

Graph

Beliebte Beispiele

y^{''}+9y=5sec(3x)

y^{^{''}} + 9 y = 5 sec (3 x)

y^{''}-3y^'+2y=(e^{3x})/(e^{2x)+1}

y^{^{''}} - 3 y^{^{'}} + 2 y = \frac{e ^{3 x}}{e ^{2 x} + 1}

y^{''}+10000y=100sin(50x)

y^{^{''}} + 10000 y = 100 sin (50 x)

y^{''}+10y^'+15=0

y^{^{''}} + 10 y^{^{'}} + 15 = 0

(d^2x)/(dt^2)+(dx)/(dt)+x=1

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 1