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Beliebt Rechnen >

y^{''}+4y=0,y^'(0)=2

Lösung

y^{^{''}} + 4 y = 0, y^{^{'}} (0) = 2

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+(dy)/(dx)+1/4 y=0

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + \frac{1}{4} y = 0

100y^{''}+200y^'+101y=0

100 y^{^{''}} + 200 y^{^{'}} + 101 y = 0

y^{^{''''}} - 8 y = 0

(d^2x)/(dt^2)+8(dx)/(dt)+4x=0

\frac{d ^{2} x}{d t ^{2}} + 8 \frac{d x}{d t} + 4 x = 0

y^{''}-6y^'+90y=0

y^{^{''}} - 6 y^{^{'}} + 90 y = 0