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Beliebt Rechnen >

y^{''}+vy^'=ce^{(-r^2)}

Lösung

y^{^{''}} + v y^{^{'}} = c e^{(- r^{2})}

Lösung

y = c_{1} + c_{2} e^{- v t} + \frac{c e ^{- r^{2}} t}{v}

Schritte zur Lösung

y^{''} (t) + v y^{'} (t) = c e^{(- r^{2})}

Solve linear ODE:

y = c_{1} + c_{2} e^{- v t} + \frac{c e ^{- r^{2}} t}{v}

y = c_{1} + c_{2} e^{- v t} + \frac{c e ^{- r^{2}} t}{v}

Graph

Beliebte Beispiele

y^{''}+3y^'+2y=e^{-4t},y(0)=0,y^'(0)=0

y^{^{''}} + 3 y^{^{'}} + 2 y = e^{- 4 t}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+4y^'+3y=6e^{-5t}

y^{^{''}} + 4 y^{^{'}} + 3 y = 6 e^{- 5 t}

y^{''}+4y^'+5y=sin(sqrt(5)t)

y^{^{''}} + 4 y^{^{'}} + 5 y = sin (5 t)

y^{''}+4y^'+5y=2x-e^{-4x}+sin(2x)

y^{^{''}} + 4 y^{^{'}} + 5 y = 2 x - e^{- 4 x} + sin (2 x)

y^{''}+25y=32sin(3x+2)

y^{^{''}} + 25 y = 32 sin (3 x + 2)