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Beliebt Rechnen >

(d^2y)/(dx^2)=-4y

Lösung

\frac{d ^{2} y}{d x ^{2}} = - 4 y

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = - 4 y

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x)

y = c_{1} cos (2 x) + c_{2} sin (2 x)

Graph

Beliebte Beispiele

(d^2y)/(dt^2)-y=0

\frac{d ^{2} y}{d t ^{2}} - y = 0

y^{'''}+2y^{''}+5y^'-26y=0,y(0)=e^{2x}

y^{^{'''}} + 2 y^{^{''}} + 5 y^{^{'}} - 26 y = 0, y (0) = e^{2 x}

2y^{''}+4y^'+3y=0

2 y^{^{''}} + 4 y^{^{'}} + 3 y = 0

(d^2y)/(dx^2)+2(dy)/(dx)-y=0

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

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

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