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Beliebt Rechnen >

y^{''}-30y^'+325y=0

Lösung

y^{^{''}} - 30 y^{^{'}} + 325 y = 0

Lösung

y = e^{15 t} (c_{1} cos (10 t) + c_{2} sin (10 t))

Schritte zur Lösung

y^{''} (t) - 30 y^{'} (t) + 325 y = 0

Solve linear ODE:

y = e^{15 t} (c_{1} cos (10 t) + c_{2} sin (10 t))

y = e^{15 t} (c_{1} cos (10 t) + c_{2} sin (10 t))

Graph

Beliebte Beispiele

-y^{''}+ay^'+by=0

- y^{^{''}} + a y^{^{'}} + b y = 0

y^{''}-5y^'+10y=0

y^{^{''}} - 5 y^{^{'}} + 10 y = 0

y^{''}+36y=0,y^'(0)=2

y^{^{''}} + 36 y = 0, y^{^{'}} (0) = 2

(d^3y)/(dx^3)+y=0

\frac{d ^{3} y}{d x ^{3}} + y = 0

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

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