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Beliebt Rechnen >

y^{''}+4y^'-21y=0,y(0)=1,y^'(0)=23

Lösung

y^{^{''}} + 4 y^{^{'}} - 21 y = 0, y (0) = 1, y^{^{'}} (0) = 23

Lösung

y = 3 e^{3 t} - 2 e^{- 7 t}

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) - 21 y = 0

Solve linear ODE:

y = 3 e^{3 t} - 2 e^{- 7 t}

y = 3 e^{3 t} - 2 e^{- 7 t}

Graph

Beliebte Beispiele

4y^{''}-4y^'-3y=0,y(0)=1,y^'(0)=7

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 7

(d^2y)/(dx^2)+81y=0

\frac{d ^{2} y}{d x ^{2}} + 81 y = 0

16y^{''}-8y^'+145y=0,y(0)=-2,y^'(0)=1

16 y^{^{''}} - 8 y^{^{'}} + 145 y = 0, y (0) = - 2, y^{^{'}} (0) = 1

(D^5-2D^3-2D^2-3D-2)y=0

(D^{5} - 2 D^{3} - 2 D^{2} - 3 D - 2) y = 0

y^{'''}-3y^{''}-y^'+3y=0

y^{^{'''}} - 3 y^{^{''}} - y^{^{'}} + 3 y = 0