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Beliebt Rechnen >

y^{''}+4y=-1,y(pi/8)= 3/4 ,y^'(pi/8)=2

Lösung

y^{^{''}} + 4 y = - 1, y (\frac{π}{8}) = \frac{3}{4}, y^{^{'}} (\frac{π}{8}) = 2

Lösung

y = 2 sin (2 t) - \frac{1}{4}

Schritte zur Lösung

y^{''} (t) + 4 y = - 1

Solve linear ODE:

y = 2 sin (2 t) - \frac{1}{4}

y = 2 sin (2 t) - \frac{1}{4}

Graph

Beliebte Beispiele

y^{''}+5y^'+4y=12

y^{^{''}} + 5 y^{^{'}} + 4 y = 12

y^{''}-22y^'+121y=(e^{-11x})/(1+x^2)

y^{^{''}} - 22 y^{^{'}} + 121 y = \frac{e ^{- 11 x}}{1 + x ^{2}}

x^{''}-x=sin(t)

x^{^{''}} - x = sin (t)

y^{''}+4y=9sin(t)

y^{^{''}} + 4 y = 9 sin (t)

y^{''}-6y^'+13y=4e^{3x},y(0)=2,y^'(0)=4

y^{^{''}} - 6 y^{^{'}} + 13 y = 4 e^{3 x}, y (0) = 2, y^{^{'}} (0) = 4