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Beliebt Rechnen >

y^{''}-20y^'+101y=0,y(0)=8,y^'(0)=1

Lösung

y^{^{''}} - 20 y^{^{'}} + 101 y = 0, y (0) = 8, y^{^{'}} (0) = 1

Lösung

y = e^{10 t} (8 cos (t) - 79 sin (t))

Schritte zur Lösung

y^{''} (t) - 20 y^{'} (t) + 101 y = 0

Solve linear ODE:

y = e^{10 t} (8 cos (t) - 79 sin (t))

y = e^{10 t} (8 cos (t) - 79 sin (t))

Graph

Beliebte Beispiele

r^2y^{''}+ry^'-n^2y=0

r^{2} y^{^{''}} + r y^{^{'}} - n^{2} y = 0

1/4 y^{''}+7/4 y^'+5/2 y=0

\frac{1}{4} y^{^{''}} + \frac{7}{4} y^{^{'}} + \frac{5}{2} y = 0

y^{''}-8y^'+16y=0,y(0)=0,y^'(0)=3

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = 0, y^{^{'}} (0) = 3

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

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

(d^2y)/(dx^2)+9(dy)/(dx)+9y=0

\frac{d ^{2} y}{d x ^{2}} + 9 \frac{d y}{d x} + 9 y = 0