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Beliebt Rechnen >

y^{''}+12y^'+ay=0

Lösung

y^{^{''}} + 12 y^{^{'}} + a y = 0

Lösung

y = c_{1} e^{(- 6 + - a + 36) t} + c_{2} e^{(- - a + 36 - 6) t}

Schritte zur Lösung

y^{''} (t) + 12 y^{'} (t) + a y = 0

Solve linear ODE:

y = c_{1} e^{(- 6 + - a + 36) t} + c_{2} e^{(- - a + 36 - 6) t}

y = c_{1} e^{(- 6 + - a + 36) t} + c_{2} e^{(- - a + 36 - 6) t}

Graph

Beliebte Beispiele

linear y^{''}+3y^'+2y=0,y(0)=1,y^'(0)=0

l in e a r y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0

(d^2y)/(dx^2)+5^2y=0

\frac{d ^{2} y}{d x ^{2}} + 5^{2} y = 0

y^{''}+6y^'+13y=0,y(0)=3

y^{^{''}} + 6 y^{^{'}} + 13 y = 0, y (0) = 3

2y^{''}+9y^'-5y=0

2 y^{^{''}} + 9 y^{^{'}} - 5 y = 0

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

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