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Beliebt Rechnen >

y^{''}-36y=-42e^{-5t},y(0)=7,y^'(0)=0

Lösung

y^{^{''}} - 36 y = - 42 e^{- 5 t}, y (0) = 7, y^{^{'}} (0) = 0

Lösung

y = \frac{42}{11} e^{- 5 t} + \frac{35}{11} e^{6 t}

Schritte zur Lösung

y^{''} (t) - 36 y = - 42 e^{- 5 t}

Solve linear ODE:

y = \frac{42}{11} e^{- 5 t} + \frac{35}{11} e^{6 t}

y = \frac{42}{11} e^{- 5 t} + \frac{35}{11} e^{6 t}

Graph

Beliebte Beispiele

y^{''}-7y^'+6y=2,y^'(0)=7

y^{^{''}} - 7 y^{^{'}} + 6 y = 2, y^{^{'}} (0) = 7

y^{'''}-y^'=1-x^2

y^{^{'''}} - y^{^{'}} = 1 - x^{2}

y^{''}-4y^'+3y=2e^{(3t)}

y^{^{''}} - 4 y^{^{'}} + 3 y = 2 e^{(3 t)}

y^{^{''}} + 4 y = 3 x

y^{''}+2ay^'+b^2y=sin(ct)

y^{^{''}} + 2 a y^{^{'}} + b^{2} y = sin (c t)