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Beliebt Rechnen >

y^{''}+16y=e^{5t}

Lösung

y^{^{''}} + 16 y = e^{5 t}

Lösung

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{41} e^{5 t}

Schritte zur Lösung

y^{''} (t) + 16 y = e^{5 t}

Solve linear ODE:

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{41} e^{5 t}

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{41} e^{5 t}

Graph

Beliebte Beispiele

y^{''}+256y=16cos(3x)

y^{^{''}} + 256 y = 16 cos (3 x)

D(x)=-6(2940)+4200

D (x) = - 6 (2940) + 4200

y^{''''}-16y=2e^{-2x}+3e^{3x}+cos(2x)-1

y^{^{''''}} - 16 y = 2 e^{- 2 x} + 3 e^{3 x} + cos (2 x) - 1

(d^2)/(dt^2)(θ(t))+4θ(t)=cos(c^2)(2t)

\frac{d ^{2}}{d t ^{2}} (θ (t)) + 4 θ (t) = cos (c^{2}) (2 t)

(d^2x)/(dt^2)+100x=36cos(8t)

\frac{d ^{2} x}{d t ^{2}} + 100 x = 36 cos (8 t)