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Beliebt Rechnen >

y^{''}-6y^'+12y=0,y(0)=0,y^'(0)=-7

Lösung

y^{^{''}} - 6 y^{^{'}} + 12 y = 0, y (0) = 0, y^{^{'}} (0) = - 7

Lösung

y = - \frac{7}{3} e^{3 t} sin (3 t)

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 12 y = 0

Solve linear ODE:

y = - \frac{7}{3} e^{3 t} sin (3 t)

y = - \frac{7}{3} e^{3 t} sin (3 t)

Graph

Beliebte Beispiele

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

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

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

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

y^{''}+64y=0,y(pi)=0,y(0)=0

y^{^{''}} + 64 y = 0, y (π) = 0, y (0) = 0

(\frac{d^2f)/(dx^2)}{f(x)}=a^2

\frac{\frac{d ^{2} f}{d x ^{2}}}{f ( x )} = a^{2}

2y^{''}+10y^'-12y=0

2 y^{^{''}} + 10 y^{^{'}} - 12 y = 0