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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- 3 t} + \frac{4 t}{3}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 t} + \frac{4 t}{3}

y = c_{1} + c_{2} e^{- 3 t} + \frac{4 t}{3}

Graph

Beliebte Beispiele

2y^{''}+y^'-y=3x+4,y(0)=1,y^'(0)=1

2 y^{^{''}} + y^{^{'}} - y = 3 x + 4, y (0) = 1, y^{^{'}} (0) = 1

y^{''}-y^'-6y=3e^{2x}

y^{^{''}} - y^{^{'}} - 6 y = 3 e^{2 x}

y^{''}+7y^'-12y=e^3x-2e^x-5x

y^{^{''}} + 7 y^{^{'}} - 12 y = e^{3} x - 2 e^{x} - 5 x

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

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

(d^2y)/(dx^2)+4y=cos(9/4 x)

\frac{d ^{2} y}{d x ^{2}} + 4 y = cos (\frac{9}{4} x)