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Beliebt Rechnen >

y^{''}-8y^'+32y=0,y(0)=5,y^'(0)=-4

Lösung

y^{^{''}} - 8 y^{^{'}} + 32 y = 0, y (0) = 5, y^{^{'}} (0) = - 4

Lösung

y = e^{4 t} (5 cos (4 t) - 6 sin (4 t))

Schritte zur Lösung

y^{''} (t) - 8 y^{'} (t) + 32 y = 0

Solve linear ODE:

y = e^{4 t} (5 cos (4 t) - 6 sin (4 t))

y = e^{4 t} (5 cos (4 t) - 6 sin (4 t))

Graph

Beliebte Beispiele

y^{''}+3y^'+5y=0,y(0)=0,y^'(0)=1

y^{^{''}} + 3 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 1

x^{''}+64x=0,x(0)= 4/12 ,x^'(0)=0

x^{^{''}} + 64 x = 0, x (0) = \frac{4}{12}, x^{^{'}} (0) = 0

y^{'''}-2y^{''}+8y^'=0

y^{^{'''}} - 2 y^{^{''}} + 8 y^{^{'}} = 0

5 y^{^{''}} + 25 y = 0

-x^{''}+2x^'+x=0

- x^{^{''}} + 2 x^{^{'}} + x = 0