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Beliebt Rechnen >

y^{''}-8y^'+80y=0,y(0)=10,y^'(0)=8

Lösung

y^{^{''}} - 8 y^{^{'}} + 80 y = 0, y (0) = 10, y^{^{'}} (0) = 8

Lösung

y = e^{4 t} (10 cos (8 t) - 4 sin (8 t))

Schritte zur Lösung

y^{''} (t) - 8 y^{'} (t) + 80 y = 0

Solve linear ODE:

y = e^{4 t} (10 cos (8 t) - 4 sin (8 t))

y = e^{4 t} (10 cos (8 t) - 4 sin (8 t))

Graph

Beliebte Beispiele

4y^{'''}-3y^{''}-25y^'-6y=0

4 y^{^{'''}} - 3 y^{^{''}} - 25 y^{^{'}} - 6 y = 0

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

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

4(d^2y)/(dx^2)-4(dy)/(dx)+y=0

4 \frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + y = 0

41y-8y^'+y^{''}=0,y(0)=-3,y^'(0)=-32

41 y - 8 y^{^{'}} + y^{^{''}} = 0, y (0) = - 3, y^{^{'}} (0) = - 32

(y^{''}+y^')/y =0

\frac{y ^{^{''}} + y ^{^{'}}}{y} = 0