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Beliebt Rechnen >

y^{''}-6y^'+10y=0,y(0)=3,y^'(0)=-2

Lösung

y^{^{''}} - 6 y^{^{'}} + 10 y = 0, y (0) = 3, y^{^{'}} (0) = - 2

Lösung

y = e^{3 t} (3 cos (t) - 11 sin (t))

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = e^{3 t} (3 cos (t) - 11 sin (t))

y = e^{3 t} (3 cos (t) - 11 sin (t))

Graph

Beliebte Beispiele

tangent 7x^2+4x-5

t an g e n t 7 x^{2} + 4 x - 5

derivative of \sqrt[3]{(x^2+1^2})

\frac{d}{d x} (3 (x^{2} + 1)^{2})

integral of-5xcos(x)

\int - 5 x cos (x) d x

derivative of (y-x^2)

\frac{d}{d x} ((y - x)^{2})

limit as x approaches 2 of |x-3|

x \to 2 lim (∣ x - 3 ∣)