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Beliebt Rechnen >

4y^{''}-16y=1

Lösung

4 y^{^{''}} - 16 y = 1

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - \frac{1}{16}

Schritte zur Lösung

4 y^{''} (t) - 16 y = 1

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - \frac{1}{16}

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - \frac{1}{16}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+y=e^x,y(0)=0,y^'(0)=0

\frac{d ^{2} y}{d x ^{2}} + y = e^{x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+y=t,y(0)=1,y^'(0)=-2

y^{^{''}} + y = t, y (0) = 1, y^{^{'}} (0) = - 2

y^{''''}+2y^{''}+y=5+cos(5t)

y^{^{''''}} + 2 y^{^{''}} + y = 5 + cos (5 t)

y^{''}-2y^'-48y=-136t+96t^2

y^{^{''}} - 2 y^{^{'}} - 48 y = - 136 t + 96 t^{2}

y^{''}+4y=6cos(2x)

y^{^{''}} + 4 y = 6 cos (2 x)