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Beliebt Rechnen >

y^{''}-2y^'-3y=e^6cos(t)

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{6} cos (t)

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} - \frac{e ^{6}}{10} sin (t) - \frac{e ^{6}}{5} cos (t)

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = e^{6} cos (t)

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} - \frac{e ^{6}}{10} sin (t) - \frac{e ^{6}}{5} cos (t)

y = c_{1} e^{3 t} + c_{2} e^{- t} - \frac{e ^{6}}{10} sin (t) - \frac{e ^{6}}{5} cos (t)

Graph

Beliebte Beispiele

(d^2+3d+2)y=1+3x+x^2

(d^{2} + 3 d + 2) y = 1 + 3 x + x^{2}

x^{''}+3x^'-4x=-4t+3

x^{^{''}} + 3 x^{^{'}} - 4 x = - 4 t + 3

y^{''}-4y^'+4=sin(x)

y^{^{''}} - 4 y^{^{'}} + 4 = sin (x)

y^{''}+2y^'=4,y(0)=3,y^'(0)=5

y^{^{''}} + 2 y^{^{'}} = 4, y (0) = 3, y^{^{'}} (0) = 5

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

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