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Beliebt Rechnen >

y^{''}+7y^'=196sin(7t)+588cos(7t)

Lösung

y^{^{''}} + 7 y^{^{'}} = 196 sin (7 t) + 588 cos (7 t)

Lösung

y = c_{1} + c_{2} e^{- 7 t} + 4 sin (7 t) - 8 cos (7 t)

Schritte zur Lösung

y^{''} (t) + 7 y^{'} (t) = 196 sin (7 t) + 588 cos (7 t)

Solve linear ODE:

y = c_{1} + c_{2} e^{- 7 t} + 4 sin (7 t) - 8 cos (7 t)

y = c_{1} + c_{2} e^{- 7 t} + 4 sin (7 t) - 8 cos (7 t)

Graph

Beliebte Beispiele

x^{''}+49x=96cos(5t)

x^{^{''}} + 49 x = 96 cos (5 t)

(d^2y)/(dx^2)-y=xe^{2x}

\frac{d ^{2} y}{d x ^{2}} - y = x e^{2 x}

y^{''}+y^'-2y=xe^x+e^x

y^{^{''}} + y^{^{'}} - 2 y = x e^{x} + e^{x}

y^{''}+5y^'+4y=8x

y^{^{''}} + 5 y^{^{'}} + 4 y = 8 x

y^{''}+5y^'+6y=e^{2x}+1

y^{^{''}} + 5 y^{^{'}} + 6 y = e^{2 x} + 1