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Beliebt Rechnen >

y^{''}+4y=-5

Lösung

y^{^{''}} + 4 y = - 5

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y = - 5

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'+4y=3cos(2t)+4sin(2t)

y^{^{''}} + 2 y^{^{'}} + 4 y = 3 cos (2 t) + 4 sin (2 t)

y^{'''}-4y^{''}+5y^'-2y=6e^x+10cos(x)

y^{^{'''}} - 4 y^{^{''}} + 5 y^{^{'}} - 2 y = 6 e^{x} + 10 cos (x)

y^{''}+3y^'+2y=sin(x)

y^{^{''}} + 3 y^{^{'}} + 2 y = sin (x)

(d^2y)/(dx^2)+ay^'-b=0

\frac{d ^{2} y}{d x ^{2}} + a y^{^{'}} - b = 0

linear y^{''}+y^'-6y=2x

l in e a r y^{^{''}} + y^{^{'}} - 6 y = 2 x