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Beliebt Rechnen >

y^{''}-10y^'+21y=192e^t

Lösung

y^{^{''}} - 10 y^{^{'}} + 21 y = 192 e^{t}

Lösung

y = c_{1} e^{7 t} + c_{2} e^{3 t} + 16 e^{t}

Schritte zur Lösung

y^{''} (t) - 10 y^{'} (t) + 21 y = 192 e^{t}

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} e^{3 t} + 16 e^{t}

y = c_{1} e^{7 t} + c_{2} e^{3 t} + 16 e^{t}

Graph

Beliebte Beispiele

y^{^{''}} + y = - 3 x - 2

y^{''}+14y^'+49y=x^{-3}e^{-7x}

y^{^{''}} + 14 y^{^{'}} + 49 y = x^{- 3} e^{- 7 x}

y^{''}+2y^'+2y=3t^2

y^{^{''}} + 2 y^{^{'}} + 2 y = 3 t^{2}

y^{''}-y=axe^{-x},y(0)= 1/4 ,y^'(0)=0

y^{^{''}} - y = a x e^{- x}, y (0) = \frac{1}{4}, y^{^{'}} (0) = 0

y^{''}-5y^'+4y=2e^{4t}

y^{^{''}} - 5 y^{^{'}} + 4 y = 2 e^{4 t}