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Beliebt Rechnen >

y^{''}+16y=e^{4t}+9cos(2t)

Lösung

y^{^{''}} + 16 y = e^{4 t} + 9 cos (2 t)

Lösung

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{32} e^{4 t} + \frac{3}{4} cos (2 t)

Schritte zur Lösung

y^{''} (t) + 16 y = e^{4 t} + 9 cos (2 t)

Solve linear ODE:

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{32} e^{4 t} + \frac{3}{4} cos (2 t)

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{32} e^{4 t} + \frac{3}{4} cos (2 t)

Graph

Beliebte Beispiele

y^{''}+2y^'+2y=e^{(-x)}cos(x)

y^{^{''}} + 2 y^{^{'}} + 2 y = e^{(- x)} cos (x)

(d^2y)/(dx^2)-4y^'-12y=2x+6

\frac{d ^{2} y}{d x ^{2}} - 4 y^{^{'}} - 12 y = 2 x + 6

y^{'''}-3y^{''}+4y=4-e^{-3x}

y^{^{'''}} - 3 y^{^{''}} + 4 y = 4 - e^{- 3 x}

y^{''}+20y^'+200y=1

y^{^{''}} + 20 y^{^{'}} + 200 y = 1

y^{''}+20y^'+200y=2

y^{^{''}} + 20 y^{^{'}} + 200 y = 2