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Beliebt Rechnen >

y^{''}+y=0,y(pi/3)=4,y^'(pi/3)=-8

Lösung

y^{^{''}} + y = 0, y (\frac{π}{3}) = 4, y^{^{'}} (\frac{π}{3}) = - 8

Lösung

y = (8 - 3 \cdot 2 (3 - 2)) cos (t) + 2 (3 - 2) sin (t)

Schritte zur Lösung

y^{''} (t) + y = 0

Solve linear ODE:

y = (8 - 3 \cdot 2 (3 - 2)) cos (t) + 2 (3 - 2) sin (t)

y = (8 - 3 \cdot 2 (3 - 2)) cos (t) + 2 (3 - 2) sin (t)

Graph

Beliebte Beispiele

fläche e^x,e^{-4x},[0,ln(4)]

a re a e^{x}, e^{- 4 x}, [0, ln (4)]

tangent f(x)=5x^3-5x,\at x=1

t an g e n t f (x) = 5 x^{3} - 5 x, at x = 1

derivative of e^{3-x^2}

\frac{d}{d x} (e^{3 - x^{2}})

sum from n=4 to infinity of 1/(n^{3/2)}

n = 4 \sum \infty \frac{1}{n ^{\frac{3}{2}}}

integral of x/((2-x^2)^2)

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