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Beliebt Rechnen >

y^{''}-2y^'+5y=5,y(0)=2,y^'(0)=1

Lösung

y^{^{''}} - 2 y^{^{'}} + 5 y = 5, y (0) = 2, y^{^{'}} (0) = 1

Lösung

y = e^{t} cos (2 t) + 1

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + 5 y = 5

Solve linear ODE:

y = e^{t} cos (2 t) + 1

y = e^{t} cos (2 t) + 1

Graph

Beliebte Beispiele

tangent f(x)=((x-3)/(x+1))^2,\at x=0

t an g e n t f (x) = (\frac{x - 3}{x + 1})^{2}, at x = 0

integral of ye^{3y}

\int y e^{3 y} d y

integral of (sin(x))/3

\int \frac{sin ( x )}{3} d x

integral from 1 to 2 of (x^2-4)

\int_{1}^{2} (x^{2} - 4) d x

integral of 2cos^2(t)sin^2(t)

\int 2 cos^{2} (t) sin^{2} (t) d t