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Beliebt Rechnen >

y^{''}+4y^'+3y=4,e^3ty(0)=2,y^'(0)=7

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 4, e^{3} t y (0) = 2, y^{^{'}} (0) = 7

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2+4)y=sin^2(x)

(d^{2} + 4) y = sin^{2} (x)

(d^2-2d+2)y=e^xtan(x)

(d^{2} - 2 d + 2) y = e^{x} tan (x)

y^{''}-y^'-6y=11

y^{^{''}} - y^{^{'}} - 6 y = 11

(d+2)(d-1)^3y=e^x

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

(d^4-1)y=e^xcos(x)cos^3(x)

(d^{4} - 1) y = e^{x} cos (x) cos^{3} (x)