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Beliebt Rechnen >

1/16 x^{''}+x^'+4x=0

Lösung

\frac{1}{16} x^{^{''}} + x^{^{'}} + 4 x = 0

Lösung

x = c_{1} e^{- 8 t} + c_{2} t e^{- 8 t}

Schritte zur Lösung

\frac{1}{16} x^{''} (t) + x^{'} (t) + 4 x = 0

Solve linear ODE:

x = c_{1} e^{- 8 t} + c_{2} t e^{- 8 t}

x = c_{1} e^{- 8 t} + c_{2} t e^{- 8 t}

Graph

Beliebte Beispiele

y^{''}-4y^'-5y=0,y(1)=0,y(1)=2

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (1) = 0, y (1) = 2

(d^3+d^2-9d-9)y=0

(d^{3} + d^{2} - 9 d - 9) y = 0

linear x^{''}+9x=0

l in e a r x^{^{''}} + 9 x = 0

solvefor x,(d^2x)/(dy^2)=a^2x

so l v e f or x, \frac{d ^{2} x}{d y ^{2}} = a^{2} x

(d^3y)/(dx^3)-2y^{''}+1y=0

\frac{d ^{3} y}{d x ^{3}} - 2 y^{^{''}} + 1 y = 0