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Beliebt Rechnen >

y^{''}-6y=u^2(t),y(0)=0

Lösung

y^{^{''}} - 6 y = u^{2} (t), y (0) = 0

Lösung

y = - c_{2} e^{6 t} + c_{2} e^{- 6 t} - \frac{u ^{2} t}{6}

Schritte zur Lösung

y^{''} (t) - 6 y = u^{2} (t)

Solve linear ODE:

y = - c_{2} e^{6 t} + c_{2} e^{- 6 t} - \frac{u ^{2} t}{6}

y = - c_{2} e^{6 t} + c_{2} e^{- 6 t} - \frac{u ^{2} t}{6}

Graph

Beliebte Beispiele

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

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

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)